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Finding the Fourth Proportional to 485.86, 723.82 and 462.64

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Solution

The fourth proportional to 485.86, 723.82 and 462.64 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.86 : 723.82 = 462.64 : x
  2. Step 2: Convert to fraction form
    485.86/723.82 = 462.64/x
  3. Step 3: Cross multiply
    485.86x = 723.82 × 462.64
  4. Step 4: Simplify right side
    485.86x = 334,868.08
  5. Step 5: Solve for x
    x = 334,868.08/485.86
  6. Step 6: Final answer
    x = 689.23

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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.