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Finding the Fourth Proportional to 442.77, 610.65 and 436.70

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Solution

The fourth proportional to 442.77, 610.65 and 436.70 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 610.65 = 436.70 : x
  2. Step 2: Convert to fraction form
    442.77/610.65 = 436.70/x
  3. Step 3: Cross multiply
    442.77x = 610.65 × 436.70
  4. Step 4: Simplify right side
    442.77x = 266,670.86
  5. Step 5: Solve for x
    x = 266,670.86/442.77
  6. Step 6: Final answer
    x = 602.28

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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.