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Finding the Fourth Proportional to 526.80, 727.56 and 410.18

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Solution

The fourth proportional to 526.80, 727.56 and 410.18 is: 566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 727.56 = 410.18 : x
  2. Step 2: Convert to fraction form
    526.80/727.56 = 410.18/x
  3. Step 3: Cross multiply
    526.80x = 727.56 × 410.18
  4. Step 4: Simplify right side
    526.80x = 298,430.56
  5. Step 5: Solve for x
    x = 298,430.56/526.80
  6. Step 6: Final answer
    x = 566.50

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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.