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Finding the Fourth Proportional to 825.24, 1,138.24 and 530.23

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Solution

The fourth proportional to 825.24, 1,138.24 and 530.23 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.24 : 1,138.24 = 530.23 : x
  2. Step 2: Convert to fraction form
    825.24/1,138.24 = 530.23/x
  3. Step 3: Cross multiply
    825.24x = 1,138.24 × 530.23
  4. Step 4: Simplify right side
    825.24x = 603,527.24
  5. Step 5: Solve for x
    x = 603,527.24/825.24
  6. Step 6: Final answer
    x = 731.33

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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.