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Finding the Fourth Proportional to 713.51, 1,068.98 and 404.90

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Solution

The fourth proportional to 713.51, 1,068.98 and 404.90 is: 606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 1,068.98 = 404.90 : x
  2. Step 2: Convert to fraction form
    713.51/1,068.98 = 404.90/x
  3. Step 3: Cross multiply
    713.51x = 1,068.98 × 404.90
  4. Step 4: Simplify right side
    713.51x = 432,822.63
  5. Step 5: Solve for x
    x = 432,822.63/713.51
  6. Step 6: Final answer
    x = 606.61

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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.