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Finding the Fourth Proportional to 783.50, 1,081.23 and 472.94

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Solution

The fourth proportional to 783.50, 1,081.23 and 472.94 is: 652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.50 : 1,081.23 = 472.94 : x
  2. Step 2: Convert to fraction form
    783.50/1,081.23 = 472.94/x
  3. Step 3: Cross multiply
    783.50x = 1,081.23 × 472.94
  4. Step 4: Simplify right side
    783.50x = 511,356.92
  5. Step 5: Solve for x
    x = 511,356.92/783.50
  6. Step 6: Final answer
    x = 652.66

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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.