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Finding the Fourth Proportional to 1,127.71, 1,556.03 and 655.68

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Solution

The fourth proportional to 1,127.71, 1,556.03 and 655.68 is: 904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.71 : 1,556.03 = 655.68 : x
  2. Step 2: Convert to fraction form
    1,127.71/1,556.03 = 655.68/x
  3. Step 3: Cross multiply
    1,127.71x = 1,556.03 × 655.68
  4. Step 4: Simplify right side
    1,127.71x = 1,020,252.78
  5. Step 5: Solve for x
    x = 1,020,252.78/1,127.71
  6. Step 6: Final answer
    x = 904.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.