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Finding the Fourth Proportional to 538.61, 802.80 and 520.83

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Solution

The fourth proportional to 538.61, 802.80 and 520.83 is: 776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 802.80 = 520.83 : x
  2. Step 2: Convert to fraction form
    538.61/802.80 = 520.83/x
  3. Step 3: Cross multiply
    538.61x = 802.80 × 520.83
  4. Step 4: Simplify right side
    538.61x = 418,122.32
  5. Step 5: Solve for x
    x = 418,122.32/538.61
  6. Step 6: Final answer
    x = 776.31

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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.