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Finding the Fourth Proportional to 1,353.94, 1,868.43 and 732.94

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Solution

The fourth proportional to 1,353.94, 1,868.43 and 732.94 is: 1,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.94 : 1,868.43 = 732.94 : x
  2. Step 2: Convert to fraction form
    1,353.94/1,868.43 = 732.94/x
  3. Step 3: Cross multiply
    1,353.94x = 1,868.43 × 732.94
  4. Step 4: Simplify right side
    1,353.94x = 1,369,445.16
  5. Step 5: Solve for x
    x = 1,369,445.16/1,353.94
  6. Step 6: Final answer
    x = 1,011.45

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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.