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Finding the Fourth Proportional to 536.46, 800.30 and 521.58

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Solution

The fourth proportional to 536.46, 800.30 and 521.58 is: 778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.46 : 800.30 = 521.58 : x
  2. Step 2: Convert to fraction form
    536.46/800.30 = 521.58/x
  3. Step 3: Cross multiply
    536.46x = 800.30 × 521.58
  4. Step 4: Simplify right side
    536.46x = 417,420.47
  5. Step 5: Solve for x
    x = 417,420.47/536.46
  6. Step 6: Final answer
    x = 778.10

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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.