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Finding the Fourth Proportional to 651.06, 898.76 and 415.33

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Solution

The fourth proportional to 651.06, 898.76 and 415.33 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.06 : 898.76 = 415.33 : x
  2. Step 2: Convert to fraction form
    651.06/898.76 = 415.33/x
  3. Step 3: Cross multiply
    651.06x = 898.76 × 415.33
  4. Step 4: Simplify right side
    651.06x = 373,275.42
  5. Step 5: Solve for x
    x = 373,275.42/651.06
  6. Step 6: Final answer
    x = 573.33

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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.