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Finding the Fourth Proportional to 1,022.99, 1,534.71 and 373.72

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Solution

The fourth proportional to 1,022.99, 1,534.71 and 373.72 is: 560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.99 : 1,534.71 = 373.72 : x
  2. Step 2: Convert to fraction form
    1,022.99/1,534.71 = 373.72/x
  3. Step 3: Cross multiply
    1,022.99x = 1,534.71 × 373.72
  4. Step 4: Simplify right side
    1,022.99x = 573,551.82
  5. Step 5: Solve for x
    x = 573,551.82/1,022.99
  6. Step 6: Final answer
    x = 560.66

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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.