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Finding the Fourth Proportional to 977.38, 1,348.28 and 662.66

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Solution

The fourth proportional to 977.38, 1,348.28 and 662.66 is: 914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,348.28 = 662.66 : x
  2. Step 2: Convert to fraction form
    977.38/1,348.28 = 662.66/x
  3. Step 3: Cross multiply
    977.38x = 1,348.28 × 662.66
  4. Step 4: Simplify right side
    977.38x = 893,451.22
  5. Step 5: Solve for x
    x = 893,451.22/977.38
  6. Step 6: Final answer
    x = 914.13

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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.