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Finding the Fourth Proportional to 907.30, 1,251.93 and 508.90

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Solution

The fourth proportional to 907.30, 1,251.93 and 508.90 is: 702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.30 : 1,251.93 = 508.90 : x
  2. Step 2: Convert to fraction form
    907.30/1,251.93 = 508.90/x
  3. Step 3: Cross multiply
    907.30x = 1,251.93 × 508.90
  4. Step 4: Simplify right side
    907.30x = 637,107.18
  5. Step 5: Solve for x
    x = 637,107.18/907.30
  6. Step 6: Final answer
    x = 702.20

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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.