Home / 1,509.18-2,263.40-584.15

Finding the Fourth Proportional to 1,509.18, 2,263.40 and 584.15

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Solution

The fourth proportional to 1,509.18, 2,263.40 and 584.15 is: 876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.18 : 2,263.40 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,509.18/2,263.40 = 584.15/x
  3. Step 3: Cross multiply
    1,509.18x = 2,263.40 × 584.15
  4. Step 4: Simplify right side
    1,509.18x = 1,322,153.06
  5. Step 5: Solve for x
    x = 1,322,153.06/1,509.18
  6. Step 6: Final answer
    x = 876.08

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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.