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Finding the Fourth Proportional to 487.30, 725.10 and 485.68

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Solution

The fourth proportional to 487.30, 725.10 and 485.68 is: 722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.30 : 725.10 = 485.68 : x
  2. Step 2: Convert to fraction form
    487.30/725.10 = 485.68/x
  3. Step 3: Cross multiply
    487.30x = 725.10 × 485.68
  4. Step 4: Simplify right side
    487.30x = 352,166.57
  5. Step 5: Solve for x
    x = 352,166.57/487.30
  6. Step 6: Final answer
    x = 722.69

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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.