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Finding the Fourth Proportional to 473.04, 705.69 and 460.31

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Solution

The fourth proportional to 473.04, 705.69 and 460.31 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.04 : 705.69 = 460.31 : x
  2. Step 2: Convert to fraction form
    473.04/705.69 = 460.31/x
  3. Step 3: Cross multiply
    473.04x = 705.69 × 460.31
  4. Step 4: Simplify right side
    473.04x = 324,836.16
  5. Step 5: Solve for x
    x = 324,836.16/473.04
  6. Step 6: Final answer
    x = 686.70

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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.