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Finding the Fourth Proportional to 897.55, 1,238.96 and 603.65

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Solution

The fourth proportional to 897.55, 1,238.96 and 603.65 is: 833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.55 : 1,238.96 = 603.65 : x
  2. Step 2: Convert to fraction form
    897.55/1,238.96 = 603.65/x
  3. Step 3: Cross multiply
    897.55x = 1,238.96 × 603.65
  4. Step 4: Simplify right side
    897.55x = 747,902.81
  5. Step 5: Solve for x
    x = 747,902.81/897.55
  6. Step 6: Final answer
    x = 833.27

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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.