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Finding the Fourth Proportional to 868.16, 1,301.52 and 405.70

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Solution

The fourth proportional to 868.16, 1,301.52 and 405.70 is: 608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.16 : 1,301.52 = 405.70 : x
  2. Step 2: Convert to fraction form
    868.16/1,301.52 = 405.70/x
  3. Step 3: Cross multiply
    868.16x = 1,301.52 × 405.70
  4. Step 4: Simplify right side
    868.16x = 528,020.16
  5. Step 5: Solve for x
    x = 528,020.16/868.16
  6. Step 6: Final answer
    x = 608.21

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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.