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Finding the Fourth Proportional to 562.33, 770.40 and 541.30

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Solution

The fourth proportional to 562.33, 770.40 and 541.30 is: 741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.33 : 770.40 = 541.30 : x
  2. Step 2: Convert to fraction form
    562.33/770.40 = 541.30/x
  3. Step 3: Cross multiply
    562.33x = 770.40 × 541.30
  4. Step 4: Simplify right side
    562.33x = 417,017.52
  5. Step 5: Solve for x
    x = 417,017.52/562.33
  6. Step 6: Final answer
    x = 741.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.