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Finding the Fourth Proportional to 677.40, 1,009.51 and 604.30

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Solution

The fourth proportional to 677.40, 1,009.51 and 604.30 is: 900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 1,009.51 = 604.30 : x
  2. Step 2: Convert to fraction form
    677.40/1,009.51 = 604.30/x
  3. Step 3: Cross multiply
    677.40x = 1,009.51 × 604.30
  4. Step 4: Simplify right side
    677.40x = 610,038.82
  5. Step 5: Solve for x
    x = 610,038.82/677.40
  6. Step 6: Final answer
    x = 900.56

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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.