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Finding the Fourth Proportional to 1,008.70, 1,513.11 and 574.94

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Solution

The fourth proportional to 1,008.70, 1,513.11 and 574.94 is: 862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.70 : 1,513.11 = 574.94 : x
  2. Step 2: Convert to fraction form
    1,008.70/1,513.11 = 574.94/x
  3. Step 3: Cross multiply
    1,008.70x = 1,513.11 × 574.94
  4. Step 4: Simplify right side
    1,008.70x = 869,953.40
  5. Step 5: Solve for x
    x = 869,953.40/1,008.70
  6. Step 6: Final answer
    x = 862.45

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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.