Home / 1,624.17-2,436.57-802.23

Finding the Fourth Proportional to 1,624.17, 2,436.57 and 802.23

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Solution

The fourth proportional to 1,624.17, 2,436.57 and 802.23 is: 1,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.17 : 2,436.57 = 802.23 : x
  2. Step 2: Convert to fraction form
    1,624.17/2,436.57 = 802.23/x
  3. Step 3: Cross multiply
    1,624.17x = 2,436.57 × 802.23
  4. Step 4: Simplify right side
    1,624.17x = 1,954,689.55
  5. Step 5: Solve for x
    x = 1,954,689.55/1,624.17
  6. Step 6: Final answer
    x = 1,203.50

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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.