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Finding the Fourth Proportional to 1,057.70, 1,586.68 and 619.63

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Solution

The fourth proportional to 1,057.70, 1,586.68 and 619.63 is: 929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.70 : 1,586.68 = 619.63 : x
  2. Step 2: Convert to fraction form
    1,057.70/1,586.68 = 619.63/x
  3. Step 3: Cross multiply
    1,057.70x = 1,586.68 × 619.63
  4. Step 4: Simplify right side
    1,057.70x = 983,149.01
  5. Step 5: Solve for x
    x = 983,149.01/1,057.70
  6. Step 6: Final answer
    x = 929.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.