Home / 1,509.31-2,263.71-535.18

Finding the Fourth Proportional to 1,509.31, 2,263.71 and 535.18

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Solution

The fourth proportional to 1,509.31, 2,263.71 and 535.18 is: 802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.31 : 2,263.71 = 535.18 : x
  2. Step 2: Convert to fraction form
    1,509.31/2,263.71 = 535.18/x
  3. Step 3: Cross multiply
    1,509.31x = 2,263.71 × 535.18
  4. Step 4: Simplify right side
    1,509.31x = 1,211,492.32
  5. Step 5: Solve for x
    x = 1,211,492.32/1,509.31
  6. Step 6: Final answer
    x = 802.68

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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.