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Finding the Fourth Proportional to 907.65, 1,252.62 and 509.33

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Solution

The fourth proportional to 907.65, 1,252.62 and 509.33 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.65 : 1,252.62 = 509.33 : x
  2. Step 2: Convert to fraction form
    907.65/1,252.62 = 509.33/x
  3. Step 3: Cross multiply
    907.65x = 1,252.62 × 509.33
  4. Step 4: Simplify right side
    907.65x = 638,000.08
  5. Step 5: Solve for x
    x = 638,000.08/907.65
  6. Step 6: Final answer
    x = 702.91

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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.