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Finding the Fourth Proportional to 1,177.99, 1,627.80 and 897.73

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Solution

The fourth proportional to 1,177.99, 1,627.80 and 897.73 is: 1,240.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.99 : 1,627.80 = 897.73 : x
  2. Step 2: Convert to fraction form
    1,177.99/1,627.80 = 897.73/x
  3. Step 3: Cross multiply
    1,177.99x = 1,627.80 × 897.73
  4. Step 4: Simplify right side
    1,177.99x = 1,461,326.61
  5. Step 5: Solve for x
    x = 1,461,326.61/1,177.99
  6. Step 6: Final answer
    x = 1,240.52

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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.