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Finding the Fourth Proportional to 529.29, 795.15 and 458.82

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Solution

The fourth proportional to 529.29, 795.15 and 458.82 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 795.15 = 458.82 : x
  2. Step 2: Convert to fraction form
    529.29/795.15 = 458.82/x
  3. Step 3: Cross multiply
    529.29x = 795.15 × 458.82
  4. Step 4: Simplify right side
    529.29x = 364,830.72
  5. Step 5: Solve for x
    x = 364,830.72/529.29
  6. Step 6: Final answer
    x = 689.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.