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Finding the Fourth Proportional to 526.50, 729.93 and 497.34

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Solution

The fourth proportional to 526.50, 729.93 and 497.34 is: 689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 729.93 = 497.34 : x
  2. Step 2: Convert to fraction form
    526.50/729.93 = 497.34/x
  3. Step 3: Cross multiply
    526.50x = 729.93 × 497.34
  4. Step 4: Simplify right side
    526.50x = 363,023.39
  5. Step 5: Solve for x
    x = 363,023.39/526.50
  6. Step 6: Final answer
    x = 689.50

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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.