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Finding the Fourth Proportional to 764.88, 1,056.17 and 485.61

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Solution

The fourth proportional to 764.88, 1,056.17 and 485.61 is: 670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 1,056.17 = 485.61 : x
  2. Step 2: Convert to fraction form
    764.88/1,056.17 = 485.61/x
  3. Step 3: Cross multiply
    764.88x = 1,056.17 × 485.61
  4. Step 4: Simplify right side
    764.88x = 512,886.71
  5. Step 5: Solve for x
    x = 512,886.71/764.88
  6. Step 6: Final answer
    x = 670.55

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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.