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Finding the Fourth Proportional to 526.90, 727.23 and 402.37

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Solution

The fourth proportional to 526.90, 727.23 and 402.37 is: 555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.90 : 727.23 = 402.37 : x
  2. Step 2: Convert to fraction form
    526.90/727.23 = 402.37/x
  3. Step 3: Cross multiply
    526.90x = 727.23 × 402.37
  4. Step 4: Simplify right side
    526.90x = 292,615.54
  5. Step 5: Solve for x
    x = 292,615.54/526.90
  6. Step 6: Final answer
    x = 555.35

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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.