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Finding the Fourth Proportional to 420.47, 626.50 and 401.84

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Solution

The fourth proportional to 420.47, 626.50 and 401.84 is: 598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.47 : 626.50 = 401.84 : x
  2. Step 2: Convert to fraction form
    420.47/626.50 = 401.84/x
  3. Step 3: Cross multiply
    420.47x = 626.50 × 401.84
  4. Step 4: Simplify right side
    420.47x = 251,752.76
  5. Step 5: Solve for x
    x = 251,752.76/420.47
  6. Step 6: Final answer
    x = 598.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.