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Finding the Fourth Proportional to 1,125.34, 1,552.80 and 627.90

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Solution

The fourth proportional to 1,125.34, 1,552.80 and 627.90 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.34 : 1,552.80 = 627.90 : x
  2. Step 2: Convert to fraction form
    1,125.34/1,552.80 = 627.90/x
  3. Step 3: Cross multiply
    1,125.34x = 1,552.80 × 627.90
  4. Step 4: Simplify right side
    1,125.34x = 975,003.12
  5. Step 5: Solve for x
    x = 975,003.12/1,125.34
  6. Step 6: Final answer
    x = 866.41

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1.5x scale

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.