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Finding the Fourth Proportional to 1,509.92, 2,259.40 and 893.92

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Solution

The fourth proportional to 1,509.92, 2,259.40 and 893.92 is: 1,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.92 : 2,259.40 = 893.92 : x
  2. Step 2: Convert to fraction form
    1,509.92/2,259.40 = 893.92/x
  3. Step 3: Cross multiply
    1,509.92x = 2,259.40 × 893.92
  4. Step 4: Simplify right side
    1,509.92x = 2,019,722.85
  5. Step 5: Solve for x
    x = 2,019,722.85/1,509.92
  6. Step 6: Final answer
    x = 1,337.64

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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.