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Finding the Fourth Proportional to 704.52, 970.08 and 507.66

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Solution

The fourth proportional to 704.52, 970.08 and 507.66 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 970.08 = 507.66 : x
  2. Step 2: Convert to fraction form
    704.52/970.08 = 507.66/x
  3. Step 3: Cross multiply
    704.52x = 970.08 × 507.66
  4. Step 4: Simplify right side
    704.52x = 492,470.81
  5. Step 5: Solve for x
    x = 492,470.81/704.52
  6. Step 6: Final answer
    x = 699.02

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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.