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Finding the Fourth Proportional to 1,227.65, 1,841.40 and 497.03

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Solution

The fourth proportional to 1,227.65, 1,841.40 and 497.03 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.65 : 1,841.40 = 497.03 : x
  2. Step 2: Convert to fraction form
    1,227.65/1,841.40 = 497.03/x
  3. Step 3: Cross multiply
    1,227.65x = 1,841.40 × 497.03
  4. Step 4: Simplify right side
    1,227.65x = 915,235.65
  5. Step 5: Solve for x
    x = 915,235.65/1,227.65
  6. Step 6: Final answer
    x = 745.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.