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Finding the Fourth Proportional to 663.86, 916.70 and 415.60

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Solution

The fourth proportional to 663.86, 916.70 and 415.60 is: 573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 916.70 = 415.60 : x
  2. Step 2: Convert to fraction form
    663.86/916.70 = 415.60/x
  3. Step 3: Cross multiply
    663.86x = 916.70 × 415.60
  4. Step 4: Simplify right side
    663.86x = 380,980.52
  5. Step 5: Solve for x
    x = 380,980.52/663.86
  6. Step 6: Final answer
    x = 573.89

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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.