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Finding the Fourth Proportional to 821.04, 1,132.50 and 525.84

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Solution

The fourth proportional to 821.04, 1,132.50 and 525.84 is: 725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.04 : 1,132.50 = 525.84 : x
  2. Step 2: Convert to fraction form
    821.04/1,132.50 = 525.84/x
  3. Step 3: Cross multiply
    821.04x = 1,132.50 × 525.84
  4. Step 4: Simplify right side
    821.04x = 595,513.80
  5. Step 5: Solve for x
    x = 595,513.80/821.04
  6. Step 6: Final answer
    x = 725.32

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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.