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Finding the Fourth Proportional to 1,151.54, 1,590.07 and 938.89

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Solution

The fourth proportional to 1,151.54, 1,590.07 and 938.89 is: 1,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.54 : 1,590.07 = 938.89 : x
  2. Step 2: Convert to fraction form
    1,151.54/1,590.07 = 938.89/x
  3. Step 3: Cross multiply
    1,151.54x = 1,590.07 × 938.89
  4. Step 4: Simplify right side
    1,151.54x = 1,492,900.82
  5. Step 5: Solve for x
    x = 1,492,900.82/1,151.54
  6. Step 6: Final answer
    x = 1,296.44

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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.