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Finding the Fourth Proportional to 420.04, 580.89 and 400.69

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Solution

The fourth proportional to 420.04, 580.89 and 400.69 is: 554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 580.89 = 400.69 : x
  2. Step 2: Convert to fraction form
    420.04/580.89 = 400.69/x
  3. Step 3: Cross multiply
    420.04x = 580.89 × 400.69
  4. Step 4: Simplify right side
    420.04x = 232,756.81
  5. Step 5: Solve for x
    x = 232,756.81/420.04
  6. Step 6: Final answer
    x = 554.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.