Home / 1,583.10-2,373.44-802.46

Finding the Fourth Proportional to 1,583.10, 2,373.44 and 802.46

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Solution

The fourth proportional to 1,583.10, 2,373.44 and 802.46 is: 1,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.10 : 2,373.44 = 802.46 : x
  2. Step 2: Convert to fraction form
    1,583.10/2,373.44 = 802.46/x
  3. Step 3: Cross multiply
    1,583.10x = 2,373.44 × 802.46
  4. Step 4: Simplify right side
    1,583.10x = 1,904,592.58
  5. Step 5: Solve for x
    x = 1,904,592.58/1,583.10
  6. Step 6: Final answer
    x = 1,203.08

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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.