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Finding the Fourth Proportional to 567.78, 783.90 and 358.24

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Solution

The fourth proportional to 567.78, 783.90 and 358.24 is: 494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 783.90 = 358.24 : x
  2. Step 2: Convert to fraction form
    567.78/783.90 = 358.24/x
  3. Step 3: Cross multiply
    567.78x = 783.90 × 358.24
  4. Step 4: Simplify right side
    567.78x = 280,824.34
  5. Step 5: Solve for x
    x = 280,824.34/567.78
  6. Step 6: Final answer
    x = 494.60

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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.