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Finding the Fourth Proportional to 1,140.77, 1,711.21 and 646.87

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Solution

The fourth proportional to 1,140.77, 1,711.21 and 646.87 is: 970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.77 : 1,711.21 = 646.87 : x
  2. Step 2: Convert to fraction form
    1,140.77/1,711.21 = 646.87/x
  3. Step 3: Cross multiply
    1,140.77x = 1,711.21 × 646.87
  4. Step 4: Simplify right side
    1,140.77x = 1,106,930.41
  5. Step 5: Solve for x
    x = 1,106,930.41/1,140.77
  6. Step 6: Final answer
    x = 970.34

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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.