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Finding the Fourth Proportional to 520.89, 718.40 and 458.58

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Solution

The fourth proportional to 520.89, 718.40 and 458.58 is: 632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.89 : 718.40 = 458.58 : x
  2. Step 2: Convert to fraction form
    520.89/718.40 = 458.58/x
  3. Step 3: Cross multiply
    520.89x = 718.40 × 458.58
  4. Step 4: Simplify right side
    520.89x = 329,443.87
  5. Step 5: Solve for x
    x = 329,443.87/520.89
  6. Step 6: Final answer
    x = 632.46

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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.