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Finding the Fourth Proportional to 430.70, 604.60 and 430.70

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Solution

The fourth proportional to 430.70, 604.60 and 430.70 is: 604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.70 : 604.60 = 430.70 : x
  2. Step 2: Convert to fraction form
    430.70/604.60 = 430.70/x
  3. Step 3: Cross multiply
    430.70x = 604.60 × 430.70
  4. Step 4: Simplify right side
    430.70x = 260,401.22
  5. Step 5: Solve for x
    x = 260,401.22/430.70
  6. Step 6: Final answer
    x = 604.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.