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Finding the Fourth Proportional to 430.35, 642.14 and 404.23

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Solution

The fourth proportional to 430.35, 642.14 and 404.23 is: 603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.35 : 642.14 = 404.23 : x
  2. Step 2: Convert to fraction form
    430.35/642.14 = 404.23/x
  3. Step 3: Cross multiply
    430.35x = 642.14 × 404.23
  4. Step 4: Simplify right side
    430.35x = 259,572.25
  5. Step 5: Solve for x
    x = 259,572.25/430.35
  6. Step 6: Final answer
    x = 603.17

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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.