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Finding the Fourth Proportional to 526.60, 792.99 and 458.91

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Solution

The fourth proportional to 526.60, 792.99 and 458.91 is: 691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.60 : 792.99 = 458.91 : x
  2. Step 2: Convert to fraction form
    526.60/792.99 = 458.91/x
  3. Step 3: Cross multiply
    526.60x = 792.99 × 458.91
  4. Step 4: Simplify right side
    526.60x = 363,908.75
  5. Step 5: Solve for x
    x = 363,908.75/526.60
  6. Step 6: Final answer
    x = 691.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.