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Finding the Fourth Proportional to 783.12, 1,082.14 and 561.72

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Solution

The fourth proportional to 783.12, 1,082.14 and 561.72 is: 776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.12 : 1,082.14 = 561.72 : x
  2. Step 2: Convert to fraction form
    783.12/1,082.14 = 561.72/x
  3. Step 3: Cross multiply
    783.12x = 1,082.14 × 561.72
  4. Step 4: Simplify right side
    783.12x = 607,859.68
  5. Step 5: Solve for x
    x = 607,859.68/783.12
  6. Step 6: Final answer
    x = 776.20

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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.