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Finding the Fourth Proportional to 526.73, 721.62 and 507.02

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Solution

The fourth proportional to 526.73, 721.62 and 507.02 is: 694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.73 : 721.62 = 507.02 : x
  2. Step 2: Convert to fraction form
    526.73/721.62 = 507.02/x
  3. Step 3: Cross multiply
    526.73x = 721.62 × 507.02
  4. Step 4: Simplify right side
    526.73x = 365,877.58
  5. Step 5: Solve for x
    x = 365,877.58/526.73
  6. Step 6: Final answer
    x = 694.63

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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.