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Finding the Fourth Proportional to 792.95, 1,187.30 and 646.10

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Solution

The fourth proportional to 792.95, 1,187.30 and 646.10 is: 967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.95 : 1,187.30 = 646.10 : x
  2. Step 2: Convert to fraction form
    792.95/1,187.30 = 646.10/x
  3. Step 3: Cross multiply
    792.95x = 1,187.30 × 646.10
  4. Step 4: Simplify right side
    792.95x = 767,117.50
  5. Step 5: Solve for x
    x = 767,117.50/792.95
  6. Step 6: Final answer
    x = 967.42

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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.