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Finding the Fourth Proportional to 783.06, 1,081.13 and 503.42

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Solution

The fourth proportional to 783.06, 1,081.13 and 503.42 is: 695.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,081.13 = 503.42 : x
  2. Step 2: Convert to fraction form
    783.06/1,081.13 = 503.42/x
  3. Step 3: Cross multiply
    783.06x = 1,081.13 × 503.42
  4. Step 4: Simplify right side
    783.06x = 544,254.54
  5. Step 5: Solve for x
    x = 544,254.54/783.06
  6. Step 6: Final answer
    x = 695.04

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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.