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Finding the Fourth Proportional to 1,036.82, 1,555.23 and 420.89

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Solution

The fourth proportional to 1,036.82, 1,555.23 and 420.89 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.82 : 1,555.23 = 420.89 : x
  2. Step 2: Convert to fraction form
    1,036.82/1,555.23 = 420.89/x
  3. Step 3: Cross multiply
    1,036.82x = 1,555.23 × 420.89
  4. Step 4: Simplify right side
    1,036.82x = 654,572.98
  5. Step 5: Solve for x
    x = 654,572.98/1,036.82
  6. Step 6: Final answer
    x = 631.33

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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.