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Finding the Fourth Proportional to 567.78, 783.34 and 319.06

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Solution

The fourth proportional to 567.78, 783.34 and 319.06 is: 440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 783.34 = 319.06 : x
  2. Step 2: Convert to fraction form
    567.78/783.34 = 319.06/x
  3. Step 3: Cross multiply
    567.78x = 783.34 × 319.06
  4. Step 4: Simplify right side
    567.78x = 249,932.46
  5. Step 5: Solve for x
    x = 249,932.46/567.78
  6. Step 6: Final answer
    x = 440.19

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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.