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Finding the Fourth Proportional to 907.73, 1,252.71 and 686.28

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Solution

The fourth proportional to 907.73, 1,252.71 and 686.28 is: 947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.73 : 1,252.71 = 686.28 : x
  2. Step 2: Convert to fraction form
    907.73/1,252.71 = 686.28/x
  3. Step 3: Cross multiply
    907.73x = 1,252.71 × 686.28
  4. Step 4: Simplify right side
    907.73x = 859,709.82
  5. Step 5: Solve for x
    x = 859,709.82/907.73
  6. Step 6: Final answer
    x = 947.10

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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.