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Finding the Fourth Proportional to 567.67, 783.36 and 318.98

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Solution

The fourth proportional to 567.67, 783.36 and 318.98 is: 440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.67 : 783.36 = 318.98 : x
  2. Step 2: Convert to fraction form
    567.67/783.36 = 318.98/x
  3. Step 3: Cross multiply
    567.67x = 783.36 × 318.98
  4. Step 4: Simplify right side
    567.67x = 249,876.17
  5. Step 5: Solve for x
    x = 249,876.17/567.67
  6. Step 6: Final answer
    x = 440.18

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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.