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Finding the Fourth Proportional to 537.64, 802.21 and 469.08

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Solution

The fourth proportional to 537.64, 802.21 and 469.08 is: 699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.64 : 802.21 = 469.08 : x
  2. Step 2: Convert to fraction form
    537.64/802.21 = 469.08/x
  3. Step 3: Cross multiply
    537.64x = 802.21 × 469.08
  4. Step 4: Simplify right side
    537.64x = 376,300.67
  5. Step 5: Solve for x
    x = 376,300.67/537.64
  6. Step 6: Final answer
    x = 699.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.