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Finding the Fourth Proportional to 695.23, 1,039.65 and 510.69

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Solution

The fourth proportional to 695.23, 1,039.65 and 510.69 is: 763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.23 : 1,039.65 = 510.69 : x
  2. Step 2: Convert to fraction form
    695.23/1,039.65 = 510.69/x
  3. Step 3: Cross multiply
    695.23x = 1,039.65 × 510.69
  4. Step 4: Simplify right side
    695.23x = 530,938.86
  5. Step 5: Solve for x
    x = 530,938.86/695.23
  6. Step 6: Final answer
    x = 763.69

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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.