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Finding the Fourth Proportional to 785.43, 1,177.47 and 525.42

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Solution

The fourth proportional to 785.43, 1,177.47 and 525.42 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.43 : 1,177.47 = 525.42 : x
  2. Step 2: Convert to fraction form
    785.43/1,177.47 = 525.42/x
  3. Step 3: Cross multiply
    785.43x = 1,177.47 × 525.42
  4. Step 4: Simplify right side
    785.43x = 618,666.29
  5. Step 5: Solve for x
    x = 618,666.29/785.43
  6. Step 6: Final answer
    x = 787.68

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1.5x scale

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.