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Finding the Fourth Proportional to 898.16, 1,238.90 and 835.65

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Solution

The fourth proportional to 898.16, 1,238.90 and 835.65 is: 1,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.16 : 1,238.90 = 835.65 : x
  2. Step 2: Convert to fraction form
    898.16/1,238.90 = 835.65/x
  3. Step 3: Cross multiply
    898.16x = 1,238.90 × 835.65
  4. Step 4: Simplify right side
    898.16x = 1,035,282.61
  5. Step 5: Solve for x
    x = 1,035,282.61/898.16
  6. Step 6: Final answer
    x = 1,152.68

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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.