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Finding the Fourth Proportional to 1,123.53, 1,548.84 and 790.95

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Solution

The fourth proportional to 1,123.53, 1,548.84 and 790.95 is: 1,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.53 : 1,548.84 = 790.95 : x
  2. Step 2: Convert to fraction form
    1,123.53/1,548.84 = 790.95/x
  3. Step 3: Cross multiply
    1,123.53x = 1,548.84 × 790.95
  4. Step 4: Simplify right side
    1,123.53x = 1,225,055.00
  5. Step 5: Solve for x
    x = 1,225,055.00/1,123.53
  6. Step 6: Final answer
    x = 1,090.36

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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.