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Finding the Fourth Proportional to 710.12, 1,063.28 and 401.51

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Solution

The fourth proportional to 710.12, 1,063.28 and 401.51 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.12 : 1,063.28 = 401.51 : x
  2. Step 2: Convert to fraction form
    710.12/1,063.28 = 401.51/x
  3. Step 3: Cross multiply
    710.12x = 1,063.28 × 401.51
  4. Step 4: Simplify right side
    710.12x = 426,910.23
  5. Step 5: Solve for x
    x = 426,910.23/710.12
  6. Step 6: Final answer
    x = 601.18

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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.