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Finding the Fourth Proportional to 667.60, 921.36 and 510.64

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Solution

The fourth proportional to 667.60, 921.36 and 510.64 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.60 : 921.36 = 510.64 : x
  2. Step 2: Convert to fraction form
    667.60/921.36 = 510.64/x
  3. Step 3: Cross multiply
    667.60x = 921.36 × 510.64
  4. Step 4: Simplify right side
    667.60x = 470,483.27
  5. Step 5: Solve for x
    x = 470,483.27/667.60
  6. Step 6: Final answer
    x = 704.74

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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.