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Finding the Fourth Proportional to 767.81, 1,148.21 and 572.95

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Solution

The fourth proportional to 767.81, 1,148.21 and 572.95 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.81 : 1,148.21 = 572.95 : x
  2. Step 2: Convert to fraction form
    767.81/1,148.21 = 572.95/x
  3. Step 3: Cross multiply
    767.81x = 1,148.21 × 572.95
  4. Step 4: Simplify right side
    767.81x = 657,867.64
  5. Step 5: Solve for x
    x = 657,867.64/767.81
  6. Step 6: Final answer
    x = 856.81

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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.