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Finding the Fourth Proportional to 977.19, 1,348.61 and 557.56

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Solution

The fourth proportional to 977.19, 1,348.61 and 557.56 is: 769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.19 : 1,348.61 = 557.56 : x
  2. Step 2: Convert to fraction form
    977.19/1,348.61 = 557.56/x
  3. Step 3: Cross multiply
    977.19x = 1,348.61 × 557.56
  4. Step 4: Simplify right side
    977.19x = 751,930.99
  5. Step 5: Solve for x
    x = 751,930.99/977.19
  6. Step 6: Final answer
    x = 769.48

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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.