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Finding the Fourth Proportional to 556.14, 828.33 and 526.86

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Solution

The fourth proportional to 556.14, 828.33 and 526.86 is: 784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.14 : 828.33 = 526.86 : x
  2. Step 2: Convert to fraction form
    556.14/828.33 = 526.86/x
  3. Step 3: Cross multiply
    556.14x = 828.33 × 526.86
  4. Step 4: Simplify right side
    556.14x = 436,414.30
  5. Step 5: Solve for x
    x = 436,414.30/556.14
  6. Step 6: Final answer
    x = 784.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.