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Finding the Fourth Proportional to 584.83, 876.10 and 468.74

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Solution

The fourth proportional to 584.83, 876.10 and 468.74 is: 702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.83 : 876.10 = 468.74 : x
  2. Step 2: Convert to fraction form
    584.83/876.10 = 468.74/x
  3. Step 3: Cross multiply
    584.83x = 876.10 × 468.74
  4. Step 4: Simplify right side
    584.83x = 410,662.06
  5. Step 5: Solve for x
    x = 410,662.06/584.83
  6. Step 6: Final answer
    x = 702.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.