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Finding the Fourth Proportional to 462.36, 636.30 and 430.68

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Solution

The fourth proportional to 462.36, 636.30 and 430.68 is: 592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 636.30 = 430.68 : x
  2. Step 2: Convert to fraction form
    462.36/636.30 = 430.68/x
  3. Step 3: Cross multiply
    462.36x = 636.30 × 430.68
  4. Step 4: Simplify right side
    462.36x = 274,041.68
  5. Step 5: Solve for x
    x = 274,041.68/462.36
  6. Step 6: Final answer
    x = 592.70

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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.