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Finding the Fourth Proportional to 430.50, 590 and 422.40

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Solution

The fourth proportional to 430.50, 590 and 422.40 is: 578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.50 : 590 = 422.40 : x
  2. Step 2: Convert to fraction form
    430.50/590 = 422.40/x
  3. Step 3: Cross multiply
    430.50x = 590 × 422.40
  4. Step 4: Simplify right side
    430.50x = 249,216
  5. Step 5: Solve for x
    x = 249,216/430.50
  6. Step 6: Final answer
    x = 578.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.