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Finding the Fourth Proportional to 670.22, 924.16 and 563.61

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Solution

The fourth proportional to 670.22, 924.16 and 563.61 is: 777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.22 : 924.16 = 563.61 : x
  2. Step 2: Convert to fraction form
    670.22/924.16 = 563.61/x
  3. Step 3: Cross multiply
    670.22x = 924.16 × 563.61
  4. Step 4: Simplify right side
    670.22x = 520,863.73
  5. Step 5: Solve for x
    x = 520,863.73/670.22
  6. Step 6: Final answer
    x = 777.15

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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.