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Finding the Fourth Proportional to 1,006.48, 1,388.52 and 591.76

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Solution

The fourth proportional to 1,006.48, 1,388.52 and 591.76 is: 816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.48 : 1,388.52 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,006.48/1,388.52 = 591.76/x
  3. Step 3: Cross multiply
    1,006.48x = 1,388.52 × 591.76
  4. Step 4: Simplify right side
    1,006.48x = 821,670.60
  5. Step 5: Solve for x
    x = 821,670.60/1,006.48
  6. Step 6: Final answer
    x = 816.38

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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.