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Finding the Fourth Proportional to 530.82, 735.89 and 497.70

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Solution

The fourth proportional to 530.82, 735.89 and 497.70 is: 689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.82 : 735.89 = 497.70 : x
  2. Step 2: Convert to fraction form
    530.82/735.89 = 497.70/x
  3. Step 3: Cross multiply
    530.82x = 735.89 × 497.70
  4. Step 4: Simplify right side
    530.82x = 366,249.96
  5. Step 5: Solve for x
    x = 366,249.96/530.82
  6. Step 6: Final answer
    x = 689.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.