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Finding the Fourth Proportional to 525.79, 723.95 and 451.00

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Solution

The fourth proportional to 525.79, 723.95 and 451.00 is: 620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.79 : 723.95 = 451.00 : x
  2. Step 2: Convert to fraction form
    525.79/723.95 = 451.00/x
  3. Step 3: Cross multiply
    525.79x = 723.95 × 451.00
  4. Step 4: Simplify right side
    525.79x = 326,497.83
  5. Step 5: Solve for x
    x = 326,497.83/525.79
  6. Step 6: Final answer
    x = 620.97

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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.