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Finding the Fourth Proportional to 1,461.71, 2,193.14 and 640.10

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Solution

The fourth proportional to 1,461.71, 2,193.14 and 640.10 is: 960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.71 : 2,193.14 = 640.10 : x
  2. Step 2: Convert to fraction form
    1,461.71/2,193.14 = 640.10/x
  3. Step 3: Cross multiply
    1,461.71x = 2,193.14 × 640.10
  4. Step 4: Simplify right side
    1,461.71x = 1,403,831.20
  5. Step 5: Solve for x
    x = 1,403,831.20/1,461.71
  6. Step 6: Final answer
    x = 960.40

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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.