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Finding the Fourth Proportional to 556.30, 767.19 and 381.70

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Solution

The fourth proportional to 556.30, 767.19 and 381.70 is: 526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.30 : 767.19 = 381.70 : x
  2. Step 2: Convert to fraction form
    556.30/767.19 = 381.70/x
  3. Step 3: Cross multiply
    556.30x = 767.19 × 381.70
  4. Step 4: Simplify right side
    556.30x = 292,836.42
  5. Step 5: Solve for x
    x = 292,836.42/556.30
  6. Step 6: Final answer
    x = 526.40

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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.