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Finding the Fourth Proportional to 1,054.77, 1,580.94 and 688.92

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Solution

The fourth proportional to 1,054.77, 1,580.94 and 688.92 is: 1,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.77 : 1,580.94 = 688.92 : x
  2. Step 2: Convert to fraction form
    1,054.77/1,580.94 = 688.92/x
  3. Step 3: Cross multiply
    1,054.77x = 1,580.94 × 688.92
  4. Step 4: Simplify right side
    1,054.77x = 1,089,141.18
  5. Step 5: Solve for x
    x = 1,089,141.18/1,054.77
  6. Step 6: Final answer
    x = 1,032.59

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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.