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Finding the Fourth Proportional to 907.29, 1,252 and 514.30

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Solution

The fourth proportional to 907.29, 1,252 and 514.30 is: 709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,252 = 514.30 : x
  2. Step 2: Convert to fraction form
    907.29/1,252 = 514.30/x
  3. Step 3: Cross multiply
    907.29x = 1,252 × 514.30
  4. Step 4: Simplify right side
    907.29x = 643,903.60
  5. Step 5: Solve for x
    x = 643,903.60/907.29
  6. Step 6: Final answer
    x = 709.70

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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.