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Finding the Fourth Proportional to 677.64, 1,010.89 and 604.76

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Solution

The fourth proportional to 677.64, 1,010.89 and 604.76 is: 902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.64 : 1,010.89 = 604.76 : x
  2. Step 2: Convert to fraction form
    677.64/1,010.89 = 604.76/x
  3. Step 3: Cross multiply
    677.64x = 1,010.89 × 604.76
  4. Step 4: Simplify right side
    677.64x = 611,345.84
  5. Step 5: Solve for x
    x = 611,345.84/677.64
  6. Step 6: Final answer
    x = 902.17

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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.