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Finding the Fourth Proportional to 1,056.99, 1,585.43 and 471.63

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Solution

The fourth proportional to 1,056.99, 1,585.43 and 471.63 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.99 : 1,585.43 = 471.63 : x
  2. Step 2: Convert to fraction form
    1,056.99/1,585.43 = 471.63/x
  3. Step 3: Cross multiply
    1,056.99x = 1,585.43 × 471.63
  4. Step 4: Simplify right side
    1,056.99x = 747,736.35
  5. Step 5: Solve for x
    x = 747,736.35/1,056.99
  6. Step 6: Final answer
    x = 707.42

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Double scale
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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.