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Finding the Fourth Proportional to 405.60, 603.53 and 404.23

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Solution

The fourth proportional to 405.60, 603.53 and 404.23 is: 601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.60 : 603.53 = 404.23 : x
  2. Step 2: Convert to fraction form
    405.60/603.53 = 404.23/x
  3. Step 3: Cross multiply
    405.60x = 603.53 × 404.23
  4. Step 4: Simplify right side
    405.60x = 243,963.92
  5. Step 5: Solve for x
    x = 243,963.92/405.60
  6. Step 6: Final answer
    x = 601.49

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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.