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Finding the Fourth Proportional to 929.01, 1,282.01 and 509.36

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Solution

The fourth proportional to 929.01, 1,282.01 and 509.36 is: 702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.01 : 1,282.01 = 509.36 : x
  2. Step 2: Convert to fraction form
    929.01/1,282.01 = 509.36/x
  3. Step 3: Cross multiply
    929.01x = 1,282.01 × 509.36
  4. Step 4: Simplify right side
    929.01x = 652,995.66
  5. Step 5: Solve for x
    x = 652,995.66/929.01
  6. Step 6: Final answer
    x = 702.89

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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.