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Finding the Fourth Proportional to 708.64, 1,063.38 and 400.72

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Solution

The fourth proportional to 708.64, 1,063.38 and 400.72 is: 601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 1,063.38 = 400.72 : x
  2. Step 2: Convert to fraction form
    708.64/1,063.38 = 400.72/x
  3. Step 3: Cross multiply
    708.64x = 1,063.38 × 400.72
  4. Step 4: Simplify right side
    708.64x = 426,117.63
  5. Step 5: Solve for x
    x = 426,117.63/708.64
  6. Step 6: Final answer
    x = 601.32

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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.