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Finding the Fourth Proportional to 875.57, 1,312.24 and 464.90

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Solution

The fourth proportional to 875.57, 1,312.24 and 464.90 is: 696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.57 : 1,312.24 = 464.90 : x
  2. Step 2: Convert to fraction form
    875.57/1,312.24 = 464.90/x
  3. Step 3: Cross multiply
    875.57x = 1,312.24 × 464.90
  4. Step 4: Simplify right side
    875.57x = 610,060.38
  5. Step 5: Solve for x
    x = 610,060.38/875.57
  6. Step 6: Final answer
    x = 696.76

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