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Finding the Fourth Proportional to 1,127.16, 1,555.48 and 684.98

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Solution

The fourth proportional to 1,127.16, 1,555.48 and 684.98 is: 945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.16 : 1,555.48 = 684.98 : x
  2. Step 2: Convert to fraction form
    1,127.16/1,555.48 = 684.98/x
  3. Step 3: Cross multiply
    1,127.16x = 1,555.48 × 684.98
  4. Step 4: Simplify right side
    1,127.16x = 1,065,463.20
  5. Step 5: Solve for x
    x = 1,065,463.20/1,127.16
  6. Step 6: Final answer
    x = 945.26

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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.