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Finding the Fourth Proportional to 977.02, 1,348.42 and 551.74

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Solution

The fourth proportional to 977.02, 1,348.42 and 551.74 is: 761.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.02 : 1,348.42 = 551.74 : x
  2. Step 2: Convert to fraction form
    977.02/1,348.42 = 551.74/x
  3. Step 3: Cross multiply
    977.02x = 1,348.42 × 551.74
  4. Step 4: Simplify right side
    977.02x = 743,977.25
  5. Step 5: Solve for x
    x = 743,977.25/977.02
  6. Step 6: Final answer
    x = 761.48

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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.