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Finding the Fourth Proportional to 829.85, 1,144.80 and 530.95

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Solution

The fourth proportional to 829.85, 1,144.80 and 530.95 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.85 : 1,144.80 = 530.95 : x
  2. Step 2: Convert to fraction form
    829.85/1,144.80 = 530.95/x
  3. Step 3: Cross multiply
    829.85x = 1,144.80 × 530.95
  4. Step 4: Simplify right side
    829.85x = 607,831.56
  5. Step 5: Solve for x
    x = 607,831.56/829.85
  6. Step 6: Final answer
    x = 732.46

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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.