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Finding the Fourth Proportional to 704.17, 1,056.13 and 670.15

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Solution

The fourth proportional to 704.17, 1,056.13 and 670.15 is: 1,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.17 : 1,056.13 = 670.15 : x
  2. Step 2: Convert to fraction form
    704.17/1,056.13 = 670.15/x
  3. Step 3: Cross multiply
    704.17x = 1,056.13 × 670.15
  4. Step 4: Simplify right side
    704.17x = 707,765.52
  5. Step 5: Solve for x
    x = 707,765.52/704.17
  6. Step 6: Final answer
    x = 1,005.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.