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Finding the Fourth Proportional to 729.16, 1,089.29 and 467.06

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Solution

The fourth proportional to 729.16, 1,089.29 and 467.06 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.16 : 1,089.29 = 467.06 : x
  2. Step 2: Convert to fraction form
    729.16/1,089.29 = 467.06/x
  3. Step 3: Cross multiply
    729.16x = 1,089.29 × 467.06
  4. Step 4: Simplify right side
    729.16x = 508,763.79
  5. Step 5: Solve for x
    x = 508,763.79/729.16
  6. Step 6: Final answer
    x = 697.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.