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Finding the Fourth Proportional to 485.64, 723.56 and 474.71

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Solution

The fourth proportional to 485.64, 723.56 and 474.71 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.64 : 723.56 = 474.71 : x
  2. Step 2: Convert to fraction form
    485.64/723.56 = 474.71/x
  3. Step 3: Cross multiply
    485.64x = 723.56 × 474.71
  4. Step 4: Simplify right side
    485.64x = 343,475.18
  5. Step 5: Solve for x
    x = 343,475.18/485.64
  6. Step 6: Final answer
    x = 707.26

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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.