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Finding the Fourth Proportional to 646.02, 962.22 and 632.52

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Solution

The fourth proportional to 646.02, 962.22 and 632.52 is: 942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 962.22 = 632.52 : x
  2. Step 2: Convert to fraction form
    646.02/962.22 = 632.52/x
  3. Step 3: Cross multiply
    646.02x = 962.22 × 632.52
  4. Step 4: Simplify right side
    646.02x = 608,623.39
  5. Step 5: Solve for x
    x = 608,623.39/646.02
  6. Step 6: Final answer
    x = 942.11

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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.