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Finding the Fourth Proportional to 530.04, 793.26 and 458.76

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Solution

The fourth proportional to 530.04, 793.26 and 458.76 is: 686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.04 : 793.26 = 458.76 : x
  2. Step 2: Convert to fraction form
    530.04/793.26 = 458.76/x
  3. Step 3: Cross multiply
    530.04x = 793.26 × 458.76
  4. Step 4: Simplify right side
    530.04x = 363,915.96
  5. Step 5: Solve for x
    x = 363,915.96/530.04
  6. Step 6: Final answer
    x = 686.58

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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.