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Finding the Fourth Proportional to 432.83, 598.64 and 425.54

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Solution

The fourth proportional to 432.83, 598.64 and 425.54 is: 588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.83 : 598.64 = 425.54 : x
  2. Step 2: Convert to fraction form
    432.83/598.64 = 425.54/x
  3. Step 3: Cross multiply
    432.83x = 598.64 × 425.54
  4. Step 4: Simplify right side
    432.83x = 254,740.14
  5. Step 5: Solve for x
    x = 254,740.14/432.83
  6. Step 6: Final answer
    x = 588.55

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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.