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Finding the Fourth Proportional to 875.13, 1,313.46 and 464.57

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Solution

The fourth proportional to 875.13, 1,313.46 and 464.57 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.13 : 1,313.46 = 464.57 : x
  2. Step 2: Convert to fraction form
    875.13/1,313.46 = 464.57/x
  3. Step 3: Cross multiply
    875.13x = 1,313.46 × 464.57
  4. Step 4: Simplify right side
    875.13x = 610,194.11
  5. Step 5: Solve for x
    x = 610,194.11/875.13
  6. Step 6: Final answer
    x = 697.26

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1.5x scale

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.