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Finding the Fourth Proportional to 895.28, 1,233.78 and 646.14

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Solution

The fourth proportional to 895.28, 1,233.78 and 646.14 is: 890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.28 : 1,233.78 = 646.14 : x
  2. Step 2: Convert to fraction form
    895.28/1,233.78 = 646.14/x
  3. Step 3: Cross multiply
    895.28x = 1,233.78 × 646.14
  4. Step 4: Simplify right side
    895.28x = 797,194.61
  5. Step 5: Solve for x
    x = 797,194.61/895.28
  6. Step 6: Final answer
    x = 890.44

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Double scale
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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.