Home / 1,509.24-2,264.24-631.44

Finding the Fourth Proportional to 1,509.24, 2,264.24 and 631.44

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Solution

The fourth proportional to 1,509.24, 2,264.24 and 631.44 is: 947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.24 : 2,264.24 = 631.44 : x
  2. Step 2: Convert to fraction form
    1,509.24/2,264.24 = 631.44/x
  3. Step 3: Cross multiply
    1,509.24x = 2,264.24 × 631.44
  4. Step 4: Simplify right side
    1,509.24x = 1,429,728.55
  5. Step 5: Solve for x
    x = 1,429,728.55/1,509.24
  6. Step 6: Final answer
    x = 947.32

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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.