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Finding the Fourth Proportional to 1,127.04, 1,689.18 and 640.50

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Solution

The fourth proportional to 1,127.04, 1,689.18 and 640.50 is: 959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.04 : 1,689.18 = 640.50 : x
  2. Step 2: Convert to fraction form
    1,127.04/1,689.18 = 640.50/x
  3. Step 3: Cross multiply
    1,127.04x = 1,689.18 × 640.50
  4. Step 4: Simplify right side
    1,127.04x = 1,081,919.79
  5. Step 5: Solve for x
    x = 1,081,919.79/1,127.04
  6. Step 6: Final answer
    x = 959.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.