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Finding the Fourth Proportional to 783.52, 1,178.16 and 541.60

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Solution

The fourth proportional to 783.52, 1,178.16 and 541.60 is: 814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.52 : 1,178.16 = 541.60 : x
  2. Step 2: Convert to fraction form
    783.52/1,178.16 = 541.60/x
  3. Step 3: Cross multiply
    783.52x = 1,178.16 × 541.60
  4. Step 4: Simplify right side
    783.52x = 638,091.46
  5. Step 5: Solve for x
    x = 638,091.46/783.52
  6. Step 6: Final answer
    x = 814.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.