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Finding the Fourth Proportional to 651.74, 898.94 and 415.76

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Solution

The fourth proportional to 651.74, 898.94 and 415.76 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.74 : 898.94 = 415.76 : x
  2. Step 2: Convert to fraction form
    651.74/898.94 = 415.76/x
  3. Step 3: Cross multiply
    651.74x = 898.94 × 415.76
  4. Step 4: Simplify right side
    651.74x = 373,738.80
  5. Step 5: Solve for x
    x = 373,738.80/651.74
  6. Step 6: Final answer
    x = 573.45

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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.