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Finding the Fourth Proportional to 784.78, 1,176.93 and 542.86

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Solution

The fourth proportional to 784.78, 1,176.93 and 542.86 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.78 : 1,176.93 = 542.86 : x
  2. Step 2: Convert to fraction form
    784.78/1,176.93 = 542.86/x
  3. Step 3: Cross multiply
    784.78x = 1,176.93 × 542.86
  4. Step 4: Simplify right side
    784.78x = 638,908.22
  5. Step 5: Solve for x
    x = 638,908.22/784.78
  6. Step 6: Final answer
    x = 814.12

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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.