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Finding the Fourth Proportional to 923.56, 1,275.78 and 917.08

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Solution

The fourth proportional to 923.56, 1,275.78 and 917.08 is: 1,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.56 : 1,275.78 = 917.08 : x
  2. Step 2: Convert to fraction form
    923.56/1,275.78 = 917.08/x
  3. Step 3: Cross multiply
    923.56x = 1,275.78 × 917.08
  4. Step 4: Simplify right side
    923.56x = 1,169,992.32
  5. Step 5: Solve for x
    x = 1,169,992.32/923.56
  6. Step 6: Final answer
    x = 1,266.83

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1.5x scale

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.