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Finding the Fourth Proportional to 1,355.40, 2,032.76 and 477.83

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Solution

The fourth proportional to 1,355.40, 2,032.76 and 477.83 is: 716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.40 : 2,032.76 = 477.83 : x
  2. Step 2: Convert to fraction form
    1,355.40/2,032.76 = 477.83/x
  3. Step 3: Cross multiply
    1,355.40x = 2,032.76 × 477.83
  4. Step 4: Simplify right side
    1,355.40x = 971,319.99
  5. Step 5: Solve for x
    x = 971,319.99/1,355.40
  6. Step 6: Final answer
    x = 716.63

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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.