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Finding the Fourth Proportional to 700.64, 965.55 and 503.81

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Solution

The fourth proportional to 700.64, 965.55 and 503.81 is: 694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.64 : 965.55 = 503.81 : x
  2. Step 2: Convert to fraction form
    700.64/965.55 = 503.81/x
  3. Step 3: Cross multiply
    700.64x = 965.55 × 503.81
  4. Step 4: Simplify right side
    700.64x = 486,448.92
  5. Step 5: Solve for x
    x = 486,448.92/700.64
  6. Step 6: Final answer
    x = 694.30

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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.