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Finding the Fourth Proportional to 602.78, 831.59 and 477.93

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Solution

The fourth proportional to 602.78, 831.59 and 477.93 is: 659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 831.59 = 477.93 : x
  2. Step 2: Convert to fraction form
    602.78/831.59 = 477.93/x
  3. Step 3: Cross multiply
    602.78x = 831.59 × 477.93
  4. Step 4: Simplify right side
    602.78x = 397,444.33
  5. Step 5: Solve for x
    x = 397,444.33/602.78
  6. Step 6: Final answer
    x = 659.36

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Double scale
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1.5x scale

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.