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Finding the Fourth Proportional to 605.60, 907.88 and 312.78

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Solution

The fourth proportional to 605.60, 907.88 and 312.78 is: 468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.60 : 907.88 = 312.78 : x
  2. Step 2: Convert to fraction form
    605.60/907.88 = 312.78/x
  3. Step 3: Cross multiply
    605.60x = 907.88 × 312.78
  4. Step 4: Simplify right side
    605.60x = 283,966.71
  5. Step 5: Solve for x
    x = 283,966.71/605.60
  6. Step 6: Final answer
    x = 468.90

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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.