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Finding the Fourth Proportional to 649.43, 895.69 and 462.77

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Solution

The fourth proportional to 649.43, 895.69 and 462.77 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 895.69 = 462.77 : x
  2. Step 2: Convert to fraction form
    649.43/895.69 = 462.77/x
  3. Step 3: Cross multiply
    649.43x = 895.69 × 462.77
  4. Step 4: Simplify right side
    649.43x = 414,496.15
  5. Step 5: Solve for x
    x = 414,496.15/649.43
  6. Step 6: Final answer
    x = 638.25

Related Problems

Find fourth proportional to 324.72, 447.84 and 231.39
Half scale
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Double scale
Find fourth proportional to 650.43, 897.06 and 463.77
Similar ratio
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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.