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Finding the Fourth Proportional to 437.76, 602.36 and 424.40

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Solution

The fourth proportional to 437.76, 602.36 and 424.40 is: 583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.76 : 602.36 = 424.40 : x
  2. Step 2: Convert to fraction form
    437.76/602.36 = 424.40/x
  3. Step 3: Cross multiply
    437.76x = 602.36 × 424.40
  4. Step 4: Simplify right side
    437.76x = 255,641.58
  5. Step 5: Solve for x
    x = 255,641.58/437.76
  6. Step 6: Final answer
    x = 583.98

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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.