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Finding the Fourth Proportional to 783.76, 1,170.02 and 619.78

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Solution

The fourth proportional to 783.76, 1,170.02 and 619.78 is: 925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,170.02 = 619.78 : x
  2. Step 2: Convert to fraction form
    783.76/1,170.02 = 619.78/x
  3. Step 3: Cross multiply
    783.76x = 1,170.02 × 619.78
  4. Step 4: Simplify right side
    783.76x = 725,155.00
  5. Step 5: Solve for x
    x = 725,155.00/783.76
  6. Step 6: Final answer
    x = 925.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.