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Finding the Fourth Proportional to 700.52, 965.18 and 503.69

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Solution

The fourth proportional to 700.52, 965.18 and 503.69 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.52 : 965.18 = 503.69 : x
  2. Step 2: Convert to fraction form
    700.52/965.18 = 503.69/x
  3. Step 3: Cross multiply
    700.52x = 965.18 × 503.69
  4. Step 4: Simplify right side
    700.52x = 486,147.95
  5. Step 5: Solve for x
    x = 486,147.95/700.52
  6. Step 6: Final answer
    x = 693.99

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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.