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Finding the Fourth Proportional to 708.19, 977.66 and 442.78

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Solution

The fourth proportional to 708.19, 977.66 and 442.78 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 977.66 = 442.78 : x
  2. Step 2: Convert to fraction form
    708.19/977.66 = 442.78/x
  3. Step 3: Cross multiply
    708.19x = 977.66 × 442.78
  4. Step 4: Simplify right side
    708.19x = 432,885.97
  5. Step 5: Solve for x
    x = 432,885.97/708.19
  6. Step 6: Final answer
    x = 611.26

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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.