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Finding the Fourth Proportional to 421.70, 589.10 and 421.70

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Solution

The fourth proportional to 421.70, 589.10 and 421.70 is: 589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.70 : 589.10 = 421.70 : x
  2. Step 2: Convert to fraction form
    421.70/589.10 = 421.70/x
  3. Step 3: Cross multiply
    421.70x = 589.10 × 421.70
  4. Step 4: Simplify right side
    421.70x = 248,423.47
  5. Step 5: Solve for x
    x = 248,423.47/421.70
  6. Step 6: Final answer
    x = 589.10

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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.