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Finding the Fourth Proportional to 907.29, 1,252.20 and 514.23

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Solution

The fourth proportional to 907.29, 1,252.20 and 514.23 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,252.20 = 514.23 : x
  2. Step 2: Convert to fraction form
    907.29/1,252.20 = 514.23/x
  3. Step 3: Cross multiply
    907.29x = 1,252.20 × 514.23
  4. Step 4: Simplify right side
    907.29x = 643,918.81
  5. Step 5: Solve for x
    x = 643,918.81/907.29
  6. Step 6: Final answer
    x = 709.72

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.