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Finding the Fourth Proportional to 1,122.14, 1,547.56 and 728.75

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Solution

The fourth proportional to 1,122.14, 1,547.56 and 728.75 is: 1,005.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.14 : 1,547.56 = 728.75 : x
  2. Step 2: Convert to fraction form
    1,122.14/1,547.56 = 728.75/x
  3. Step 3: Cross multiply
    1,122.14x = 1,547.56 × 728.75
  4. Step 4: Simplify right side
    1,122.14x = 1,127,784.35
  5. Step 5: Solve for x
    x = 1,127,784.35/1,122.14
  6. Step 6: Final answer
    x = 1,005.03

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Half scale
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Double scale
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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.