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Finding the Fourth Proportional to 1,017.31, 1,403.90 and 551.56

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Solution

The fourth proportional to 1,017.31, 1,403.90 and 551.56 is: 761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.31 : 1,403.90 = 551.56 : x
  2. Step 2: Convert to fraction form
    1,017.31/1,403.90 = 551.56/x
  3. Step 3: Cross multiply
    1,017.31x = 1,403.90 × 551.56
  4. Step 4: Simplify right side
    1,017.31x = 774,335.08
  5. Step 5: Solve for x
    x = 774,335.08/1,017.31
  6. Step 6: Final answer
    x = 761.16

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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.