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Finding the Fourth Proportional to 1,017.68, 1,404.41 and 551.93

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Solution

The fourth proportional to 1,017.68, 1,404.41 and 551.93 is: 761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.68 : 1,404.41 = 551.93 : x
  2. Step 2: Convert to fraction form
    1,017.68/1,404.41 = 551.93/x
  3. Step 3: Cross multiply
    1,017.68x = 1,404.41 × 551.93
  4. Step 4: Simplify right side
    1,017.68x = 775,126.23
  5. Step 5: Solve for x
    x = 775,126.23/1,017.68
  6. Step 6: Final answer
    x = 761.66

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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.