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Finding the Fourth Proportional to 707.95, 1,063.29 and 434.57

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Solution

The fourth proportional to 707.95, 1,063.29 and 434.57 is: 652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.95 : 1,063.29 = 434.57 : x
  2. Step 2: Convert to fraction form
    707.95/1,063.29 = 434.57/x
  3. Step 3: Cross multiply
    707.95x = 1,063.29 × 434.57
  4. Step 4: Simplify right side
    707.95x = 462,073.94
  5. Step 5: Solve for x
    x = 462,073.94/707.95
  6. Step 6: Final answer
    x = 652.69

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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.