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Finding the Fourth Proportional to 977.25, 1,348.27 and 557.30

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Solution

The fourth proportional to 977.25, 1,348.27 and 557.30 is: 768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.25 : 1,348.27 = 557.30 : x
  2. Step 2: Convert to fraction form
    977.25/1,348.27 = 557.30/x
  3. Step 3: Cross multiply
    977.25x = 1,348.27 × 557.30
  4. Step 4: Simplify right side
    977.25x = 751,395.98
  5. Step 5: Solve for x
    x = 751,395.98/977.25
  6. Step 6: Final answer
    x = 768.89

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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.