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Finding the Fourth Proportional to 457.95, 686.48 and 320.56

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Solution

The fourth proportional to 457.95, 686.48 and 320.56 is: 480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.95 : 686.48 = 320.56 : x
  2. Step 2: Convert to fraction form
    457.95/686.48 = 320.56/x
  3. Step 3: Cross multiply
    457.95x = 686.48 × 320.56
  4. Step 4: Simplify right side
    457.95x = 220,054.71
  5. Step 5: Solve for x
    x = 220,054.71/457.95
  6. Step 6: Final answer
    x = 480.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.