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Finding the Fourth Proportional to 526.36, 729.76 and 497.20

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Solution

The fourth proportional to 526.36, 729.76 and 497.20 is: 689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 729.76 = 497.20 : x
  2. Step 2: Convert to fraction form
    526.36/729.76 = 497.20/x
  3. Step 3: Cross multiply
    526.36x = 729.76 × 497.20
  4. Step 4: Simplify right side
    526.36x = 362,836.67
  5. Step 5: Solve for x
    x = 362,836.67/526.36
  6. Step 6: Final answer
    x = 689.33

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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.