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Finding the Fourth Proportional to 625.60, 869.28 and 617.84

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Solution

The fourth proportional to 625.60, 869.28 and 617.84 is: 858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.60 : 869.28 = 617.84 : x
  2. Step 2: Convert to fraction form
    625.60/869.28 = 617.84/x
  3. Step 3: Cross multiply
    625.60x = 869.28 × 617.84
  4. Step 4: Simplify right side
    625.60x = 537,075.96
  5. Step 5: Solve for x
    x = 537,075.96/625.60
  6. Step 6: Final answer
    x = 858.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.