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Finding the Fourth Proportional to 587.61, 811.48 and 463.07

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Solution

The fourth proportional to 587.61, 811.48 and 463.07 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.61 : 811.48 = 463.07 : x
  2. Step 2: Convert to fraction form
    587.61/811.48 = 463.07/x
  3. Step 3: Cross multiply
    587.61x = 811.48 × 463.07
  4. Step 4: Simplify right side
    587.61x = 375,774.07
  5. Step 5: Solve for x
    x = 375,774.07/587.61
  6. Step 6: Final answer
    x = 639.50

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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.