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Finding the Fourth Proportional to 587.59, 811.84 and 464.19

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Solution

The fourth proportional to 587.59, 811.84 and 464.19 is: 641.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.59 : 811.84 = 464.19 : x
  2. Step 2: Convert to fraction form
    587.59/811.84 = 464.19/x
  3. Step 3: Cross multiply
    587.59x = 811.84 × 464.19
  4. Step 4: Simplify right side
    587.59x = 376,848.01
  5. Step 5: Solve for x
    x = 376,848.01/587.59
  6. Step 6: Final answer
    x = 641.35

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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.