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Finding the Fourth Proportional to 908.60, 1,254.45 and 577.50

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Solution

The fourth proportional to 908.60, 1,254.45 and 577.50 is: 797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.60 : 1,254.45 = 577.50 : x
  2. Step 2: Convert to fraction form
    908.60/1,254.45 = 577.50/x
  3. Step 3: Cross multiply
    908.60x = 1,254.45 × 577.50
  4. Step 4: Simplify right side
    908.60x = 724,444.88
  5. Step 5: Solve for x
    x = 724,444.88/908.60
  6. Step 6: Final answer
    x = 797.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.