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Finding the Fourth Proportional to 798.81, 1,197.10 and 603.65

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Solution

The fourth proportional to 798.81, 1,197.10 and 603.65 is: 904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.81 : 1,197.10 = 603.65 : x
  2. Step 2: Convert to fraction form
    798.81/1,197.10 = 603.65/x
  3. Step 3: Cross multiply
    798.81x = 1,197.10 × 603.65
  4. Step 4: Simplify right side
    798.81x = 722,634.86
  5. Step 5: Solve for x
    x = 722,634.86/798.81
  6. Step 6: Final answer
    x = 904.64

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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.