Home / 1,054.06-1,581.53-437.65

Finding the Fourth Proportional to 1,054.06, 1,581.53 and 437.65

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Solution

The fourth proportional to 1,054.06, 1,581.53 and 437.65 is: 656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.06 : 1,581.53 = 437.65 : x
  2. Step 2: Convert to fraction form
    1,054.06/1,581.53 = 437.65/x
  3. Step 3: Cross multiply
    1,054.06x = 1,581.53 × 437.65
  4. Step 4: Simplify right side
    1,054.06x = 692,159.36
  5. Step 5: Solve for x
    x = 692,159.36/1,054.06
  6. Step 6: Final answer
    x = 656.66

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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.