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Finding the Fourth Proportional to 567.72, 783.41 and 319.01

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Solution

The fourth proportional to 567.72, 783.41 and 319.01 is: 440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.72 : 783.41 = 319.01 : x
  2. Step 2: Convert to fraction form
    567.72/783.41 = 319.01/x
  3. Step 3: Cross multiply
    567.72x = 783.41 × 319.01
  4. Step 4: Simplify right side
    567.72x = 249,910.11
  5. Step 5: Solve for x
    x = 249,910.11/567.72
  6. Step 6: Final answer
    x = 440.20

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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.