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Finding the Fourth Proportional to 907.53, 1,251.93 and 686.10

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Solution

The fourth proportional to 907.53, 1,251.93 and 686.10 is: 946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.53 : 1,251.93 = 686.10 : x
  2. Step 2: Convert to fraction form
    907.53/1,251.93 = 686.10/x
  3. Step 3: Cross multiply
    907.53x = 1,251.93 × 686.10
  4. Step 4: Simplify right side
    907.53x = 858,949.17
  5. Step 5: Solve for x
    x = 858,949.17/907.53
  6. Step 6: Final answer
    x = 946.47

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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.