Home / 1,055.34-1,583.28-405.90

Finding the Fourth Proportional to 1,055.34, 1,583.28 and 405.90

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Solution

The fourth proportional to 1,055.34, 1,583.28 and 405.90 is: 608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.34 : 1,583.28 = 405.90 : x
  2. Step 2: Convert to fraction form
    1,055.34/1,583.28 = 405.90/x
  3. Step 3: Cross multiply
    1,055.34x = 1,583.28 × 405.90
  4. Step 4: Simplify right side
    1,055.34x = 642,651.32
  5. Step 5: Solve for x
    x = 642,651.32/1,055.34
  6. Step 6: Final answer
    x = 608.95

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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.