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Finding the Fourth Proportional to 541.70, 808.98 and 536.03

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Solution

The fourth proportional to 541.70, 808.98 and 536.03 is: 800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.70 : 808.98 = 536.03 : x
  2. Step 2: Convert to fraction form
    541.70/808.98 = 536.03/x
  3. Step 3: Cross multiply
    541.70x = 808.98 × 536.03
  4. Step 4: Simplify right side
    541.70x = 433,635.51
  5. Step 5: Solve for x
    x = 433,635.51/541.70
  6. Step 6: Final answer
    x = 800.52

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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.