Home / 1,509.36-2,264.58-535.20

Finding the Fourth Proportional to 1,509.36, 2,264.58 and 535.20

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Solution

The fourth proportional to 1,509.36, 2,264.58 and 535.20 is: 802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.36 : 2,264.58 = 535.20 : x
  2. Step 2: Convert to fraction form
    1,509.36/2,264.58 = 535.20/x
  3. Step 3: Cross multiply
    1,509.36x = 2,264.58 × 535.20
  4. Step 4: Simplify right side
    1,509.36x = 1,212,003.22
  5. Step 5: Solve for x
    x = 1,212,003.22/1,509.36
  6. Step 6: Final answer
    x = 802.99

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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.