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Finding the Fourth Proportional to 848.79, 1,172.16 and 646.56

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Solution

The fourth proportional to 848.79, 1,172.16 and 646.56 is: 892.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.79 : 1,172.16 = 646.56 : x
  2. Step 2: Convert to fraction form
    848.79/1,172.16 = 646.56/x
  3. Step 3: Cross multiply
    848.79x = 1,172.16 × 646.56
  4. Step 4: Simplify right side
    848.79x = 757,871.77
  5. Step 5: Solve for x
    x = 757,871.77/848.79
  6. Step 6: Final answer
    x = 892.88

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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.