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Finding the Fourth Proportional to 1,151.95, 1,728.15 and 631.67

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Solution

The fourth proportional to 1,151.95, 1,728.15 and 631.67 is: 947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.95 : 1,728.15 = 631.67 : x
  2. Step 2: Convert to fraction form
    1,151.95/1,728.15 = 631.67/x
  3. Step 3: Cross multiply
    1,151.95x = 1,728.15 × 631.67
  4. Step 4: Simplify right side
    1,151.95x = 1,091,608.71
  5. Step 5: Solve for x
    x = 1,091,608.71/1,151.95
  6. Step 6: Final answer
    x = 947.62

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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.