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Finding the Fourth Proportional to 1,053.75, 1,580.94 and 468.90

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Solution

The fourth proportional to 1,053.75, 1,580.94 and 468.90 is: 703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.75 : 1,580.94 = 468.90 : x
  2. Step 2: Convert to fraction form
    1,053.75/1,580.94 = 468.90/x
  3. Step 3: Cross multiply
    1,053.75x = 1,580.94 × 468.90
  4. Step 4: Simplify right side
    1,053.75x = 741,302.77
  5. Step 5: Solve for x
    x = 741,302.77/1,053.75
  6. Step 6: Final answer
    x = 703.49

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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.