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Finding the Fourth Proportional to 775.68, 1,070.40 and 444.08

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Solution

The fourth proportional to 775.68, 1,070.40 and 444.08 is: 612.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,070.40 = 444.08 : x
  2. Step 2: Convert to fraction form
    775.68/1,070.40 = 444.08/x
  3. Step 3: Cross multiply
    775.68x = 1,070.40 × 444.08
  4. Step 4: Simplify right side
    775.68x = 475,343.23
  5. Step 5: Solve for x
    x = 475,343.23/775.68
  6. Step 6: Final answer
    x = 612.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.