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Finding the Fourth Proportional to 526.32, 729.63 and 493.20

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Solution

The fourth proportional to 526.32, 729.63 and 493.20 is: 683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.32 : 729.63 = 493.20 : x
  2. Step 2: Convert to fraction form
    526.32/729.63 = 493.20/x
  3. Step 3: Cross multiply
    526.32x = 729.63 × 493.20
  4. Step 4: Simplify right side
    526.32x = 359,853.52
  5. Step 5: Solve for x
    x = 359,853.52/526.32
  6. Step 6: Final answer
    x = 683.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.