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Finding the Fourth Proportional to 713.76, 1,070.64 and 389.22

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Solution

The fourth proportional to 713.76, 1,070.64 and 389.22 is: 583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.76 : 1,070.64 = 389.22 : x
  2. Step 2: Convert to fraction form
    713.76/1,070.64 = 389.22/x
  3. Step 3: Cross multiply
    713.76x = 1,070.64 × 389.22
  4. Step 4: Simplify right side
    713.76x = 416,714.50
  5. Step 5: Solve for x
    x = 416,714.50/713.76
  6. Step 6: Final answer
    x = 583.83

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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.