Home / 1,082.02-1,623.80-534.35

Finding the Fourth Proportional to 1,082.02, 1,623.80 and 534.35

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Solution

The fourth proportional to 1,082.02, 1,623.80 and 534.35 is: 801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.02 : 1,623.80 = 534.35 : x
  2. Step 2: Convert to fraction form
    1,082.02/1,623.80 = 534.35/x
  3. Step 3: Cross multiply
    1,082.02x = 1,623.80 × 534.35
  4. Step 4: Simplify right side
    1,082.02x = 867,677.53
  5. Step 5: Solve for x
    x = 867,677.53/1,082.02
  6. Step 6: Final answer
    x = 801.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.