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Finding the Fourth Proportional to 1,477.59, 2,215.93 and 553.36

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Solution

The fourth proportional to 1,477.59, 2,215.93 and 553.36 is: 829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.59 : 2,215.93 = 553.36 : x
  2. Step 2: Convert to fraction form
    1,477.59/2,215.93 = 553.36/x
  3. Step 3: Cross multiply
    1,477.59x = 2,215.93 × 553.36
  4. Step 4: Simplify right side
    1,477.59x = 1,226,200.62
  5. Step 5: Solve for x
    x = 1,226,200.62/1,477.59
  6. Step 6: Final answer
    x = 829.86

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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.