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Finding the Fourth Proportional to 667.88, 921.47 and 528.02

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Solution

The fourth proportional to 667.88, 921.47 and 528.02 is: 728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.88 : 921.47 = 528.02 : x
  2. Step 2: Convert to fraction form
    667.88/921.47 = 528.02/x
  3. Step 3: Cross multiply
    667.88x = 921.47 × 528.02
  4. Step 4: Simplify right side
    667.88x = 486,547.34
  5. Step 5: Solve for x
    x = 486,547.34/667.88
  6. Step 6: Final answer
    x = 728.50

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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.