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Finding the Fourth Proportional to 698.34, 1,051.02 and 525.90

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Solution

The fourth proportional to 698.34, 1,051.02 and 525.90 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.34 : 1,051.02 = 525.90 : x
  2. Step 2: Convert to fraction form
    698.34/1,051.02 = 525.90/x
  3. Step 3: Cross multiply
    698.34x = 1,051.02 × 525.90
  4. Step 4: Simplify right side
    698.34x = 552,728.79
  5. Step 5: Solve for x
    x = 552,728.79/698.34
  6. Step 6: Final answer
    x = 791.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.