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Finding the Fourth Proportional to 798.98, 1,197.58 and 603.34

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Solution

The fourth proportional to 798.98, 1,197.58 and 603.34 is: 904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.98 : 1,197.58 = 603.34 : x
  2. Step 2: Convert to fraction form
    798.98/1,197.58 = 603.34/x
  3. Step 3: Cross multiply
    798.98x = 1,197.58 × 603.34
  4. Step 4: Simplify right side
    798.98x = 722,550.02
  5. Step 5: Solve for x
    x = 722,550.02/798.98
  6. Step 6: Final answer
    x = 904.34

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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.