Home / 1,054.13-1,581.78-437.72

Finding the Fourth Proportional to 1,054.13, 1,581.78 and 437.72

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Solution

The fourth proportional to 1,054.13, 1,581.78 and 437.72 is: 656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.13 : 1,581.78 = 437.72 : x
  2. Step 2: Convert to fraction form
    1,054.13/1,581.78 = 437.72/x
  3. Step 3: Cross multiply
    1,054.13x = 1,581.78 × 437.72
  4. Step 4: Simplify right side
    1,054.13x = 692,376.74
  5. Step 5: Solve for x
    x = 692,376.74/1,054.13
  6. Step 6: Final answer
    x = 656.82

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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.