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Finding the Fourth Proportional to 1,110.79, 1,657.73 and 987.77

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Solution

The fourth proportional to 1,110.79, 1,657.73 and 987.77 is: 1,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.79 : 1,657.73 = 987.77 : x
  2. Step 2: Convert to fraction form
    1,110.79/1,657.73 = 987.77/x
  3. Step 3: Cross multiply
    1,110.79x = 1,657.73 × 987.77
  4. Step 4: Simplify right side
    1,110.79x = 1,637,455.96
  5. Step 5: Solve for x
    x = 1,637,455.96/1,110.79
  6. Step 6: Final answer
    x = 1,474.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.