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Finding the Fourth Proportional to 526.64, 727.15 and 340.24

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Solution

The fourth proportional to 526.64, 727.15 and 340.24 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.64 : 727.15 = 340.24 : x
  2. Step 2: Convert to fraction form
    526.64/727.15 = 340.24/x
  3. Step 3: Cross multiply
    526.64x = 727.15 × 340.24
  4. Step 4: Simplify right side
    526.64x = 247,402.00
  5. Step 5: Solve for x
    x = 247,402.00/526.64
  6. Step 6: Final answer
    x = 469.78

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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.