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Finding the Fourth Proportional to 1,162.15, 1,603.75 and 631.03

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Solution

The fourth proportional to 1,162.15, 1,603.75 and 631.03 is: 870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.15 : 1,603.75 = 631.03 : x
  2. Step 2: Convert to fraction form
    1,162.15/1,603.75 = 631.03/x
  3. Step 3: Cross multiply
    1,162.15x = 1,603.75 × 631.03
  4. Step 4: Simplify right side
    1,162.15x = 1,012,014.36
  5. Step 5: Solve for x
    x = 1,012,014.36/1,162.15
  6. Step 6: Final answer
    x = 870.81

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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.