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Finding the Fourth Proportional to 802.42, 1,208.26 and 598.42

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Solution

The fourth proportional to 802.42, 1,208.26 and 598.42 is: 901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.42 : 1,208.26 = 598.42 : x
  2. Step 2: Convert to fraction form
    802.42/1,208.26 = 598.42/x
  3. Step 3: Cross multiply
    802.42x = 1,208.26 × 598.42
  4. Step 4: Simplify right side
    802.42x = 723,046.95
  5. Step 5: Solve for x
    x = 723,046.95/802.42
  6. Step 6: Final answer
    x = 901.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.