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Finding the Fourth Proportional to 469.10, 703.20 and 420.50

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Solution

The fourth proportional to 469.10, 703.20 and 420.50 is: 630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 703.20 = 420.50 : x
  2. Step 2: Convert to fraction form
    469.10/703.20 = 420.50/x
  3. Step 3: Cross multiply
    469.10x = 703.20 × 420.50
  4. Step 4: Simplify right side
    469.10x = 295,695.60
  5. Step 5: Solve for x
    x = 295,695.60/469.10
  6. Step 6: Final answer
    x = 630.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.