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Finding the Fourth Proportional to 521.77, 718.40 and 442.93

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Solution

The fourth proportional to 521.77, 718.40 and 442.93 is: 609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.77 : 718.40 = 442.93 : x
  2. Step 2: Convert to fraction form
    521.77/718.40 = 442.93/x
  3. Step 3: Cross multiply
    521.77x = 718.40 × 442.93
  4. Step 4: Simplify right side
    521.77x = 318,201.57
  5. Step 5: Solve for x
    x = 318,201.57/521.77
  6. Step 6: Final answer
    x = 609.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.