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Finding the Fourth Proportional to 527.58, 727.38 and 402.84

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Solution

The fourth proportional to 527.58, 727.38 and 402.84 is: 555.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 727.38 = 402.84 : x
  2. Step 2: Convert to fraction form
    527.58/727.38 = 402.84/x
  3. Step 3: Cross multiply
    527.58x = 727.38 × 402.84
  4. Step 4: Simplify right side
    527.58x = 293,017.76
  5. Step 5: Solve for x
    x = 293,017.76/527.58
  6. Step 6: Final answer
    x = 555.40

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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.