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Finding the Fourth Proportional to 1,353.95, 1,868.45 and 732.95

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Solution

The fourth proportional to 1,353.95, 1,868.45 and 732.95 is: 1,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.95 : 1,868.45 = 732.95 : x
  2. Step 2: Convert to fraction form
    1,353.95/1,868.45 = 732.95/x
  3. Step 3: Cross multiply
    1,353.95x = 1,868.45 × 732.95
  4. Step 4: Simplify right side
    1,353.95x = 1,369,480.43
  5. Step 5: Solve for x
    x = 1,369,480.43/1,353.95
  6. Step 6: Final answer
    x = 1,011.47

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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.