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Finding the Fourth Proportional to 900.70, 1,352.87 and 875.18

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Solution

The fourth proportional to 900.70, 1,352.87 and 875.18 is: 1,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.70 : 1,352.87 = 875.18 : x
  2. Step 2: Convert to fraction form
    900.70/1,352.87 = 875.18/x
  3. Step 3: Cross multiply
    900.70x = 1,352.87 × 875.18
  4. Step 4: Simplify right side
    900.70x = 1,184,004.77
  5. Step 5: Solve for x
    x = 1,184,004.77/900.70
  6. Step 6: Final answer
    x = 1,314.54

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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.