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Finding the Fourth Proportional to 537.42, 802.71 and 476.94

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Solution

The fourth proportional to 537.42, 802.71 and 476.94 is: 712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.42 : 802.71 = 476.94 : x
  2. Step 2: Convert to fraction form
    537.42/802.71 = 476.94/x
  3. Step 3: Cross multiply
    537.42x = 802.71 × 476.94
  4. Step 4: Simplify right side
    537.42x = 382,844.51
  5. Step 5: Solve for x
    x = 382,844.51/537.42
  6. Step 6: Final answer
    x = 712.37

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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.