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Finding the Fourth Proportional to 602.40, 831.24 and 340.44

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Solution

The fourth proportional to 602.40, 831.24 and 340.44 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 831.24 = 340.44 : x
  2. Step 2: Convert to fraction form
    602.40/831.24 = 340.44/x
  3. Step 3: Cross multiply
    602.40x = 831.24 × 340.44
  4. Step 4: Simplify right side
    602.40x = 282,987.35
  5. Step 5: Solve for x
    x = 282,987.35/602.40
  6. Step 6: Final answer
    x = 469.77

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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.