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Finding the Fourth Proportional to 695.71, 1,041.52 and 434.87

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Solution

The fourth proportional to 695.71, 1,041.52 and 434.87 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.71 : 1,041.52 = 434.87 : x
  2. Step 2: Convert to fraction form
    695.71/1,041.52 = 434.87/x
  3. Step 3: Cross multiply
    695.71x = 1,041.52 × 434.87
  4. Step 4: Simplify right side
    695.71x = 452,925.80
  5. Step 5: Solve for x
    x = 452,925.80/695.71
  6. Step 6: Final answer
    x = 651.03

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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.