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Finding the Fourth Proportional to 786.54, 1,177.38 and 577.86

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Solution

The fourth proportional to 786.54, 1,177.38 and 577.86 is: 865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.54 : 1,177.38 = 577.86 : x
  2. Step 2: Convert to fraction form
    786.54/1,177.38 = 577.86/x
  3. Step 3: Cross multiply
    786.54x = 1,177.38 × 577.86
  4. Step 4: Simplify right side
    786.54x = 680,360.81
  5. Step 5: Solve for x
    x = 680,360.81/786.54
  6. Step 6: Final answer
    x = 865.00

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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.