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Finding the Fourth Proportional to 1,017.16, 1,403.68 and 551.41

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Solution

The fourth proportional to 1,017.16, 1,403.68 and 551.41 is: 760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.16 : 1,403.68 = 551.41 : x
  2. Step 2: Convert to fraction form
    1,017.16/1,403.68 = 551.41/x
  3. Step 3: Cross multiply
    1,017.16x = 1,403.68 × 551.41
  4. Step 4: Simplify right side
    1,017.16x = 774,001.81
  5. Step 5: Solve for x
    x = 774,001.81/1,017.16
  6. Step 6: Final answer
    x = 760.94

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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.