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Finding the Fourth Proportional to 602.40, 831.72 and 484.80

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Solution

The fourth proportional to 602.40, 831.72 and 484.80 is: 669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 831.72 = 484.80 : x
  2. Step 2: Convert to fraction form
    602.40/831.72 = 484.80/x
  3. Step 3: Cross multiply
    602.40x = 831.72 × 484.80
  4. Step 4: Simplify right side
    602.40x = 403,217.86
  5. Step 5: Solve for x
    x = 403,217.86/602.40
  6. Step 6: Final answer
    x = 669.35

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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.