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Finding the Fourth Proportional to 703.49, 970.89 and 507.12

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Solution

The fourth proportional to 703.49, 970.89 and 507.12 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.49 : 970.89 = 507.12 : x
  2. Step 2: Convert to fraction form
    703.49/970.89 = 507.12/x
  3. Step 3: Cross multiply
    703.49x = 970.89 × 507.12
  4. Step 4: Simplify right side
    703.49x = 492,357.74
  5. Step 5: Solve for x
    x = 492,357.74/703.49
  6. Step 6: Final answer
    x = 699.88

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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.