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Finding the Fourth Proportional to 607.68, 912.45 and 577.95

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Solution

The fourth proportional to 607.68, 912.45 and 577.95 is: 867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.68 : 912.45 = 577.95 : x
  2. Step 2: Convert to fraction form
    607.68/912.45 = 577.95/x
  3. Step 3: Cross multiply
    607.68x = 912.45 × 577.95
  4. Step 4: Simplify right side
    607.68x = 527,350.48
  5. Step 5: Solve for x
    x = 527,350.48/607.68
  6. Step 6: Final answer
    x = 867.81

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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.