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Finding the Fourth Proportional to 783.61, 1,170.91 and 597.49

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Solution

The fourth proportional to 783.61, 1,170.91 and 597.49 is: 892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.61 : 1,170.91 = 597.49 : x
  2. Step 2: Convert to fraction form
    783.61/1,170.91 = 597.49/x
  3. Step 3: Cross multiply
    783.61x = 1,170.91 × 597.49
  4. Step 4: Simplify right side
    783.61x = 699,601.16
  5. Step 5: Solve for x
    x = 699,601.16/783.61
  6. Step 6: Final answer
    x = 892.80

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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.