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Finding the Fourth Proportional to 610.80, 909.78 and 608.16

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Solution

The fourth proportional to 610.80, 909.78 and 608.16 is: 905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 909.78 = 608.16 : x
  2. Step 2: Convert to fraction form
    610.80/909.78 = 608.16/x
  3. Step 3: Cross multiply
    610.80x = 909.78 × 608.16
  4. Step 4: Simplify right side
    610.80x = 553,291.80
  5. Step 5: Solve for x
    x = 553,291.80/610.80
  6. Step 6: Final answer
    x = 905.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.