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Finding the Fourth Proportional to 1,530.99, 2,297.30 and 801.99

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Solution

The fourth proportional to 1,530.99, 2,297.30 and 801.99 is: 1,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.99 : 2,297.30 = 801.99 : x
  2. Step 2: Convert to fraction form
    1,530.99/2,297.30 = 801.99/x
  3. Step 3: Cross multiply
    1,530.99x = 2,297.30 × 801.99
  4. Step 4: Simplify right side
    1,530.99x = 1,842,407.62
  5. Step 5: Solve for x
    x = 1,842,407.62/1,530.99
  6. Step 6: Final answer
    x = 1,203.41

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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.