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Finding the Fourth Proportional to 1,095.48, 1,642.11 and 705.87

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Solution

The fourth proportional to 1,095.48, 1,642.11 and 705.87 is: 1,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.48 : 1,642.11 = 705.87 : x
  2. Step 2: Convert to fraction form
    1,095.48/1,642.11 = 705.87/x
  3. Step 3: Cross multiply
    1,095.48x = 1,642.11 × 705.87
  4. Step 4: Simplify right side
    1,095.48x = 1,159,116.19
  5. Step 5: Solve for x
    x = 1,159,116.19/1,095.48
  6. Step 6: Final answer
    x = 1,058.09

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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.