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Finding the Fourth Proportional to 653.40, 985.20 and 646.32

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Solution

The fourth proportional to 653.40, 985.20 and 646.32 is: 974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 985.20 = 646.32 : x
  2. Step 2: Convert to fraction form
    653.40/985.20 = 646.32/x
  3. Step 3: Cross multiply
    653.40x = 985.20 × 646.32
  4. Step 4: Simplify right side
    653.40x = 636,754.46
  5. Step 5: Solve for x
    x = 636,754.46/653.40
  6. Step 6: Final answer
    x = 974.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.