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Finding the Fourth Proportional to 460.19, 685.07 and 457.76

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Solution

The fourth proportional to 460.19, 685.07 and 457.76 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.19 : 685.07 = 457.76 : x
  2. Step 2: Convert to fraction form
    460.19/685.07 = 457.76/x
  3. Step 3: Cross multiply
    460.19x = 685.07 × 457.76
  4. Step 4: Simplify right side
    460.19x = 313,591.93
  5. Step 5: Solve for x
    x = 313,591.93/460.19
  6. Step 6: Final answer
    x = 681.45

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Double scale
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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.