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Finding the Fourth Proportional to 903.42, 1,243.71 and 780.75

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Solution

The fourth proportional to 903.42, 1,243.71 and 780.75 is: 1,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.42 : 1,243.71 = 780.75 : x
  2. Step 2: Convert to fraction form
    903.42/1,243.71 = 780.75/x
  3. Step 3: Cross multiply
    903.42x = 1,243.71 × 780.75
  4. Step 4: Simplify right side
    903.42x = 971,026.58
  5. Step 5: Solve for x
    x = 971,026.58/903.42
  6. Step 6: Final answer
    x = 1,074.83

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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.