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Finding the Fourth Proportional to 602.69, 831.70 and 425.47

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Solution

The fourth proportional to 602.69, 831.70 and 425.47 is: 587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.69 : 831.70 = 425.47 : x
  2. Step 2: Convert to fraction form
    602.69/831.70 = 425.47/x
  3. Step 3: Cross multiply
    602.69x = 831.70 × 425.47
  4. Step 4: Simplify right side
    602.69x = 353,860.26
  5. Step 5: Solve for x
    x = 353,860.26/602.69
  6. Step 6: Final answer
    x = 587.13

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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.