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Finding the Fourth Proportional to 652.79, 972.83 and 633.02

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Solution

The fourth proportional to 652.79, 972.83 and 633.02 is: 943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.79 : 972.83 = 633.02 : x
  2. Step 2: Convert to fraction form
    652.79/972.83 = 633.02/x
  3. Step 3: Cross multiply
    652.79x = 972.83 × 633.02
  4. Step 4: Simplify right side
    652.79x = 615,820.11
  5. Step 5: Solve for x
    x = 615,820.11/652.79
  6. Step 6: Final answer
    x = 943.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.