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Finding the Fourth Proportional to 875.92, 1,314.18 and 584.60

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Solution

The fourth proportional to 875.92, 1,314.18 and 584.60 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.92 : 1,314.18 = 584.60 : x
  2. Step 2: Convert to fraction form
    875.92/1,314.18 = 584.60/x
  3. Step 3: Cross multiply
    875.92x = 1,314.18 × 584.60
  4. Step 4: Simplify right side
    875.92x = 768,269.63
  5. Step 5: Solve for x
    x = 768,269.63/875.92
  6. Step 6: Final answer
    x = 877.10

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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.