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Finding the Fourth Proportional to 488.07, 727.20 and 460.13

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Solution

The fourth proportional to 488.07, 727.20 and 460.13 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 727.20 = 460.13 : x
  2. Step 2: Convert to fraction form
    488.07/727.20 = 460.13/x
  3. Step 3: Cross multiply
    488.07x = 727.20 × 460.13
  4. Step 4: Simplify right side
    488.07x = 334,602.90
  5. Step 5: Solve for x
    x = 334,602.90/488.07
  6. Step 6: Final answer
    x = 685.56

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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.