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Finding the Fourth Proportional to 708.32, 977.08 and 442.94

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Solution

The fourth proportional to 708.32, 977.08 and 442.94 is: 611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 977.08 = 442.94 : x
  2. Step 2: Convert to fraction form
    708.32/977.08 = 442.94/x
  3. Step 3: Cross multiply
    708.32x = 977.08 × 442.94
  4. Step 4: Simplify right side
    708.32x = 432,781.82
  5. Step 5: Solve for x
    x = 432,781.82/708.32
  6. Step 6: Final answer
    x = 611.00

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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.