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Finding the Fourth Proportional to 729.65, 1,005.21 and 508.21

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Solution

The fourth proportional to 729.65, 1,005.21 and 508.21 is: 700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.65 : 1,005.21 = 508.21 : x
  2. Step 2: Convert to fraction form
    729.65/1,005.21 = 508.21/x
  3. Step 3: Cross multiply
    729.65x = 1,005.21 × 508.21
  4. Step 4: Simplify right side
    729.65x = 510,855.26
  5. Step 5: Solve for x
    x = 510,855.26/729.65
  6. Step 6: Final answer
    x = 700.14

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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.