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Finding the Fourth Proportional to 959.51, 1,438.54 and 496.67

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Solution

The fourth proportional to 959.51, 1,438.54 and 496.67 is: 744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.51 : 1,438.54 = 496.67 : x
  2. Step 2: Convert to fraction form
    959.51/1,438.54 = 496.67/x
  3. Step 3: Cross multiply
    959.51x = 1,438.54 × 496.67
  4. Step 4: Simplify right side
    959.51x = 714,479.66
  5. Step 5: Solve for x
    x = 714,479.66/959.51
  6. Step 6: Final answer
    x = 744.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.