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Finding the Fourth Proportional to 531.64, 729.73 and 509.08

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Solution

The fourth proportional to 531.64, 729.73 and 509.08 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.64 : 729.73 = 509.08 : x
  2. Step 2: Convert to fraction form
    531.64/729.73 = 509.08/x
  3. Step 3: Cross multiply
    531.64x = 729.73 × 509.08
  4. Step 4: Simplify right side
    531.64x = 371,490.95
  5. Step 5: Solve for x
    x = 371,490.95/531.64
  6. Step 6: Final answer
    x = 698.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.