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Finding the Fourth Proportional to 567.95, 784.14 and 371.81

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Solution

The fourth proportional to 567.95, 784.14 and 371.81 is: 513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.95 : 784.14 = 371.81 : x
  2. Step 2: Convert to fraction form
    567.95/784.14 = 371.81/x
  3. Step 3: Cross multiply
    567.95x = 784.14 × 371.81
  4. Step 4: Simplify right side
    567.95x = 291,547.17
  5. Step 5: Solve for x
    x = 291,547.17/567.95
  6. Step 6: Final answer
    x = 513.34

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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.