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Finding the Fourth Proportional to 783.55, 1,081.20 and 521.11

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Solution

The fourth proportional to 783.55, 1,081.20 and 521.11 is: 719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.55 : 1,081.20 = 521.11 : x
  2. Step 2: Convert to fraction form
    783.55/1,081.20 = 521.11/x
  3. Step 3: Cross multiply
    783.55x = 1,081.20 × 521.11
  4. Step 4: Simplify right side
    783.55x = 563,424.13
  5. Step 5: Solve for x
    x = 563,424.13/783.55
  6. Step 6: Final answer
    x = 719.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.