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Finding the Fourth Proportional to 975.35, 1,345.74 and 932.83

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Solution

The fourth proportional to 975.35, 1,345.74 and 932.83 is: 1,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.35 : 1,345.74 = 932.83 : x
  2. Step 2: Convert to fraction form
    975.35/1,345.74 = 932.83/x
  3. Step 3: Cross multiply
    975.35x = 1,345.74 × 932.83
  4. Step 4: Simplify right side
    975.35x = 1,255,346.64
  5. Step 5: Solve for x
    x = 1,255,346.64/975.35
  6. Step 6: Final answer
    x = 1,287.07

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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.