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Finding the Fourth Proportional to 567.56, 784.02 and 438.20

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Solution

The fourth proportional to 567.56, 784.02 and 438.20 is: 605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 784.02 = 438.20 : x
  2. Step 2: Convert to fraction form
    567.56/784.02 = 438.20/x
  3. Step 3: Cross multiply
    567.56x = 784.02 × 438.20
  4. Step 4: Simplify right side
    567.56x = 343,557.56
  5. Step 5: Solve for x
    x = 343,557.56/567.56
  6. Step 6: Final answer
    x = 605.32

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1.5x scale

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.