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Finding the Fourth Proportional to 587.17, 811.32 and 421.10

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Solution

The fourth proportional to 587.17, 811.32 and 421.10 is: 581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.17 : 811.32 = 421.10 : x
  2. Step 2: Convert to fraction form
    587.17/811.32 = 421.10/x
  3. Step 3: Cross multiply
    587.17x = 811.32 × 421.10
  4. Step 4: Simplify right side
    587.17x = 341,646.85
  5. Step 5: Solve for x
    x = 341,646.85/587.17
  6. Step 6: Final answer
    x = 581.85

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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.