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Finding the Fourth Proportional to 485.91, 725.04 and 456.53

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Solution

The fourth proportional to 485.91, 725.04 and 456.53 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.91 : 725.04 = 456.53 : x
  2. Step 2: Convert to fraction form
    485.91/725.04 = 456.53/x
  3. Step 3: Cross multiply
    485.91x = 725.04 × 456.53
  4. Step 4: Simplify right side
    485.91x = 330,998.89
  5. Step 5: Solve for x
    x = 330,998.89/485.91
  6. Step 6: Final answer
    x = 681.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.