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Finding the Fourth Proportional to 1,110.79, 1,654.54 and 1,054.63

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Solution

The fourth proportional to 1,110.79, 1,654.54 and 1,054.63 is: 1,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.79 : 1,654.54 = 1,054.63 : x
  2. Step 2: Convert to fraction form
    1,110.79/1,654.54 = 1,054.63/x
  3. Step 3: Cross multiply
    1,110.79x = 1,654.54 × 1,054.63
  4. Step 4: Simplify right side
    1,110.79x = 1,744,927.52
  5. Step 5: Solve for x
    x = 1,744,927.52/1,110.79
  6. Step 6: Final answer
    x = 1,570.89

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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.