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Finding the Fourth Proportional to 677.42, 1,010.94 and 604.52

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Solution

The fourth proportional to 677.42, 1,010.94 and 604.52 is: 902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.42 : 1,010.94 = 604.52 : x
  2. Step 2: Convert to fraction form
    677.42/1,010.94 = 604.52/x
  3. Step 3: Cross multiply
    677.42x = 1,010.94 × 604.52
  4. Step 4: Simplify right side
    677.42x = 611,133.45
  5. Step 5: Solve for x
    x = 611,133.45/677.42
  6. Step 6: Final answer
    x = 902.15

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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.