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Finding the Fourth Proportional to 1,054.18, 1,455.87 and 661.42

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Solution

The fourth proportional to 1,054.18, 1,455.87 and 661.42 is: 913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.18 : 1,455.87 = 661.42 : x
  2. Step 2: Convert to fraction form
    1,054.18/1,455.87 = 661.42/x
  3. Step 3: Cross multiply
    1,054.18x = 1,455.87 × 661.42
  4. Step 4: Simplify right side
    1,054.18x = 962,941.54
  5. Step 5: Solve for x
    x = 962,941.54/1,054.18
  6. Step 6: Final answer
    x = 913.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.