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Finding the Fourth Proportional to 907.75, 1,252.77 and 558.52

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Solution

The fourth proportional to 907.75, 1,252.77 and 558.52 is: 770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.75 : 1,252.77 = 558.52 : x
  2. Step 2: Convert to fraction form
    907.75/1,252.77 = 558.52/x
  3. Step 3: Cross multiply
    907.75x = 1,252.77 × 558.52
  4. Step 4: Simplify right side
    907.75x = 699,697.10
  5. Step 5: Solve for x
    x = 699,697.10/907.75
  6. Step 6: Final answer
    x = 770.80

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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.