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Finding the Fourth Proportional to 876.60, 1,316.98 and 875.24

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Solution

The fourth proportional to 876.60, 1,316.98 and 875.24 is: 1,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.60 : 1,316.98 = 875.24 : x
  2. Step 2: Convert to fraction form
    876.60/1,316.98 = 875.24/x
  3. Step 3: Cross multiply
    876.60x = 1,316.98 × 875.24
  4. Step 4: Simplify right side
    876.60x = 1,152,673.58
  5. Step 5: Solve for x
    x = 1,152,673.58/876.60
  6. Step 6: Final answer
    x = 1,314.94

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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.