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Finding the Fourth Proportional to 849.44, 1,275.20 and 646.40

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Solution

The fourth proportional to 849.44, 1,275.20 and 646.40 is: 970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.44 : 1,275.20 = 646.40 : x
  2. Step 2: Convert to fraction form
    849.44/1,275.20 = 646.40/x
  3. Step 3: Cross multiply
    849.44x = 1,275.20 × 646.40
  4. Step 4: Simplify right side
    849.44x = 824,289.28
  5. Step 5: Solve for x
    x = 824,289.28/849.44
  6. Step 6: Final answer
    x = 970.39

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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.