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Finding the Fourth Proportional to 436.96, 652.04 and 430.24

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Solution

The fourth proportional to 436.96, 652.04 and 430.24 is: 642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.96 : 652.04 = 430.24 : x
  2. Step 2: Convert to fraction form
    436.96/652.04 = 430.24/x
  3. Step 3: Cross multiply
    436.96x = 652.04 × 430.24
  4. Step 4: Simplify right side
    436.96x = 280,533.69
  5. Step 5: Solve for x
    x = 280,533.69/436.96
  6. Step 6: Final answer
    x = 642.01

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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.