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Finding the Fourth Proportional to 783.71, 1,180.95 and 649.76

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Solution

The fourth proportional to 783.71, 1,180.95 and 649.76 is: 979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.71 : 1,180.95 = 649.76 : x
  2. Step 2: Convert to fraction form
    783.71/1,180.95 = 649.76/x
  3. Step 3: Cross multiply
    783.71x = 1,180.95 × 649.76
  4. Step 4: Simplify right side
    783.71x = 767,334.07
  5. Step 5: Solve for x
    x = 767,334.07/783.71
  6. Step 6: Final answer
    x = 979.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.