Home / 1,054.30-1,580.64-405.58

Finding the Fourth Proportional to 1,054.30, 1,580.64 and 405.58

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Solution

The fourth proportional to 1,054.30, 1,580.64 and 405.58 is: 608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.30 : 1,580.64 = 405.58 : x
  2. Step 2: Convert to fraction form
    1,054.30/1,580.64 = 405.58/x
  3. Step 3: Cross multiply
    1,054.30x = 1,580.64 × 405.58
  4. Step 4: Simplify right side
    1,054.30x = 641,075.97
  5. Step 5: Solve for x
    x = 641,075.97/1,054.30
  6. Step 6: Final answer
    x = 608.06

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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.