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Finding the Fourth Proportional to 1,054.12, 1,580.76 and 437.66

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Solution

The fourth proportional to 1,054.12, 1,580.76 and 437.66 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.12 : 1,580.76 = 437.66 : x
  2. Step 2: Convert to fraction form
    1,054.12/1,580.76 = 437.66/x
  3. Step 3: Cross multiply
    1,054.12x = 1,580.76 × 437.66
  4. Step 4: Simplify right side
    1,054.12x = 691,835.42
  5. Step 5: Solve for x
    x = 691,835.42/1,054.12
  6. Step 6: Final answer
    x = 656.32

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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.