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Finding the Fourth Proportional to 1,155.23, 1,595.54 and 841.90

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Solution

The fourth proportional to 1,155.23, 1,595.54 and 841.90 is: 1,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.23 : 1,595.54 = 841.90 : x
  2. Step 2: Convert to fraction form
    1,155.23/1,595.54 = 841.90/x
  3. Step 3: Cross multiply
    1,155.23x = 1,595.54 × 841.90
  4. Step 4: Simplify right side
    1,155.23x = 1,343,285.13
  5. Step 5: Solve for x
    x = 1,343,285.13/1,155.23
  6. Step 6: Final answer
    x = 1,162.79

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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.