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Finding the Fourth Proportional to 530.22, 791.64 and 497.40

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Solution

The fourth proportional to 530.22, 791.64 and 497.40 is: 742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.22 : 791.64 = 497.40 : x
  2. Step 2: Convert to fraction form
    530.22/791.64 = 497.40/x
  3. Step 3: Cross multiply
    530.22x = 791.64 × 497.40
  4. Step 4: Simplify right side
    530.22x = 393,761.74
  5. Step 5: Solve for x
    x = 393,761.74/530.22
  6. Step 6: Final answer
    x = 742.64

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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.