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Finding the Fourth Proportional to 436.16, 598.40 and 424.80

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Solution

The fourth proportional to 436.16, 598.40 and 424.80 is: 582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.16 : 598.40 = 424.80 : x
  2. Step 2: Convert to fraction form
    436.16/598.40 = 424.80/x
  3. Step 3: Cross multiply
    436.16x = 598.40 × 424.80
  4. Step 4: Simplify right side
    436.16x = 254,200.32
  5. Step 5: Solve for x
    x = 254,200.32/436.16
  6. Step 6: Final answer
    x = 582.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.