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Finding the Fourth Proportional to 924.75, 1,273.64 and 860.18

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Solution

The fourth proportional to 924.75, 1,273.64 and 860.18 is: 1,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,273.64 = 860.18 : x
  2. Step 2: Convert to fraction form
    924.75/1,273.64 = 860.18/x
  3. Step 3: Cross multiply
    924.75x = 1,273.64 × 860.18
  4. Step 4: Simplify right side
    924.75x = 1,095,548.99
  5. Step 5: Solve for x
    x = 1,095,548.99/924.75
  6. Step 6: Final answer
    x = 1,184.70

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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.