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Finding the Fourth Proportional to 567.60, 783.20 and 318.90

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Solution

The fourth proportional to 567.60, 783.20 and 318.90 is: 440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.60 : 783.20 = 318.90 : x
  2. Step 2: Convert to fraction form
    567.60/783.20 = 318.90/x
  3. Step 3: Cross multiply
    567.60x = 783.20 × 318.90
  4. Step 4: Simplify right side
    567.60x = 249,766.21
  5. Step 5: Solve for x
    x = 249,766.21/567.60
  6. Step 6: Final answer
    x = 440.04

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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.