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Finding the Fourth Proportional to 1,054.74, 1,577.97 and 931.62

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Solution

The fourth proportional to 1,054.74, 1,577.97 and 931.62 is: 1,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.74 : 1,577.97 = 931.62 : x
  2. Step 2: Convert to fraction form
    1,054.74/1,577.97 = 931.62/x
  3. Step 3: Cross multiply
    1,054.74x = 1,577.97 × 931.62
  4. Step 4: Simplify right side
    1,054.74x = 1,470,068.41
  5. Step 5: Solve for x
    x = 1,470,068.41/1,054.74
  6. Step 6: Final answer
    x = 1,393.77

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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.