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Finding the Fourth Proportional to 784.02, 1,082.15 and 535.44

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Solution

The fourth proportional to 784.02, 1,082.15 and 535.44 is: 739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,082.15 = 535.44 : x
  2. Step 2: Convert to fraction form
    784.02/1,082.15 = 535.44/x
  3. Step 3: Cross multiply
    784.02x = 1,082.15 × 535.44
  4. Step 4: Simplify right side
    784.02x = 579,423.72
  5. Step 5: Solve for x
    x = 579,423.72/784.02
  6. Step 6: Final answer
    x = 739.04

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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.