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Finding the Fourth Proportional to 959.83, 1,440.77 and 473.22

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Solution

The fourth proportional to 959.83, 1,440.77 and 473.22 is: 710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.83 : 1,440.77 = 473.22 : x
  2. Step 2: Convert to fraction form
    959.83/1,440.77 = 473.22/x
  3. Step 3: Cross multiply
    959.83x = 1,440.77 × 473.22
  4. Step 4: Simplify right side
    959.83x = 681,798.81
  5. Step 5: Solve for x
    x = 681,798.81/959.83
  6. Step 6: Final answer
    x = 710.33

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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.