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Finding the Fourth Proportional to 677, 1,010.26 and 604.10

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Solution

The fourth proportional to 677, 1,010.26 and 604.10 is: 901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677 : 1,010.26 = 604.10 : x
  2. Step 2: Convert to fraction form
    677/1,010.26 = 604.10/x
  3. Step 3: Cross multiply
    677x = 1,010.26 × 604.10
  4. Step 4: Simplify right side
    677x = 610,298.07
  5. Step 5: Solve for x
    x = 610,298.07/677
  6. Step 6: Final answer
    x = 901.47

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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.