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Finding the Fourth Proportional to 584.10, 805.77 and 497.70

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Solution

The fourth proportional to 584.10, 805.77 and 497.70 is: 686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 805.77 = 497.70 : x
  2. Step 2: Convert to fraction form
    584.10/805.77 = 497.70/x
  3. Step 3: Cross multiply
    584.10x = 805.77 × 497.70
  4. Step 4: Simplify right side
    584.10x = 401,031.73
  5. Step 5: Solve for x
    x = 401,031.73/584.10
  6. Step 6: Final answer
    x = 686.58

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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.