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Finding the Fourth Proportional to 649.42, 895.70 and 462.74

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Solution

The fourth proportional to 649.42, 895.70 and 462.74 is: 638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.42 : 895.70 = 462.74 : x
  2. Step 2: Convert to fraction form
    649.42/895.70 = 462.74/x
  3. Step 3: Cross multiply
    649.42x = 895.70 × 462.74
  4. Step 4: Simplify right side
    649.42x = 414,476.22
  5. Step 5: Solve for x
    x = 414,476.22/649.42
  6. Step 6: Final answer
    x = 638.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.