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Finding the Fourth Proportional to 530.58, 792.06 and 461.38

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Solution

The fourth proportional to 530.58, 792.06 and 461.38 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.58 : 792.06 = 461.38 : x
  2. Step 2: Convert to fraction form
    530.58/792.06 = 461.38/x
  3. Step 3: Cross multiply
    530.58x = 792.06 × 461.38
  4. Step 4: Simplify right side
    530.58x = 365,440.64
  5. Step 5: Solve for x
    x = 365,440.64/530.58
  6. Step 6: Final answer
    x = 688.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.