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Finding the Fourth Proportional to 540.90, 744.29 and 524.84

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Solution

The fourth proportional to 540.90, 744.29 and 524.84 is: 722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 744.29 = 524.84 : x
  2. Step 2: Convert to fraction form
    540.90/744.29 = 524.84/x
  3. Step 3: Cross multiply
    540.90x = 744.29 × 524.84
  4. Step 4: Simplify right side
    540.90x = 390,626.82
  5. Step 5: Solve for x
    x = 390,626.82/540.90
  6. Step 6: Final answer
    x = 722.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.