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Finding the Fourth Proportional to 567.63, 784.17 and 381.06

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Solution

The fourth proportional to 567.63, 784.17 and 381.06 is: 526.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.63 : 784.17 = 381.06 : x
  2. Step 2: Convert to fraction form
    567.63/784.17 = 381.06/x
  3. Step 3: Cross multiply
    567.63x = 784.17 × 381.06
  4. Step 4: Simplify right side
    567.63x = 298,815.82
  5. Step 5: Solve for x
    x = 298,815.82/567.63
  6. Step 6: Final answer
    x = 526.43

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Double scale
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1.5x scale

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.