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Finding the Fourth Proportional to 1,342.99, 2,014.08 and 477.25

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Solution

The fourth proportional to 1,342.99, 2,014.08 and 477.25 is: 715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.99 : 2,014.08 = 477.25 : x
  2. Step 2: Convert to fraction form
    1,342.99/2,014.08 = 477.25/x
  3. Step 3: Cross multiply
    1,342.99x = 2,014.08 × 477.25
  4. Step 4: Simplify right side
    1,342.99x = 961,219.68
  5. Step 5: Solve for x
    x = 961,219.68/1,342.99
  6. Step 6: Final answer
    x = 715.73

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1.5x scale

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.