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Finding the Fourth Proportional to 868.33, 1,302.36 and 283.35

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Solution

The fourth proportional to 868.33, 1,302.36 and 283.35 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.33 : 1,302.36 = 283.35 : x
  2. Step 2: Convert to fraction form
    868.33/1,302.36 = 283.35/x
  3. Step 3: Cross multiply
    868.33x = 1,302.36 × 283.35
  4. Step 4: Simplify right side
    868.33x = 369,023.71
  5. Step 5: Solve for x
    x = 369,023.71/868.33
  6. Step 6: Final answer
    x = 424.98

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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.