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Finding the Fourth Proportional to 660.74, 910.76 and 647.78

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Solution

The fourth proportional to 660.74, 910.76 and 647.78 is: 892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.74 : 910.76 = 647.78 : x
  2. Step 2: Convert to fraction form
    660.74/910.76 = 647.78/x
  3. Step 3: Cross multiply
    660.74x = 910.76 × 647.78
  4. Step 4: Simplify right side
    660.74x = 589,964.32
  5. Step 5: Solve for x
    x = 589,964.32/660.74
  6. Step 6: Final answer
    x = 892.89

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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.