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Finding the Fourth Proportional to 584.29, 877.02 and 419.95

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Solution

The fourth proportional to 584.29, 877.02 and 419.95 is: 630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.29 : 877.02 = 419.95 : x
  2. Step 2: Convert to fraction form
    584.29/877.02 = 419.95/x
  3. Step 3: Cross multiply
    584.29x = 877.02 × 419.95
  4. Step 4: Simplify right side
    584.29x = 368,300.78
  5. Step 5: Solve for x
    x = 368,300.78/584.29
  6. Step 6: Final answer
    x = 630.34

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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.