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Finding the Fourth Proportional to 651.42, 899.24 and 402.66

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Solution

The fourth proportional to 651.42, 899.24 and 402.66 is: 555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 899.24 = 402.66 : x
  2. Step 2: Convert to fraction form
    651.42/899.24 = 402.66/x
  3. Step 3: Cross multiply
    651.42x = 899.24 × 402.66
  4. Step 4: Simplify right side
    651.42x = 362,085.97
  5. Step 5: Solve for x
    x = 362,085.97/651.42
  6. Step 6: Final answer
    x = 555.84

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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.