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Finding the Fourth Proportional to 1,055.24, 1,455.54 and 641.24

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Solution

The fourth proportional to 1,055.24, 1,455.54 and 641.24 is: 884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.24 : 1,455.54 = 641.24 : x
  2. Step 2: Convert to fraction form
    1,055.24/1,455.54 = 641.24/x
  3. Step 3: Cross multiply
    1,055.24x = 1,455.54 × 641.24
  4. Step 4: Simplify right side
    1,055.24x = 933,343.19
  5. Step 5: Solve for x
    x = 933,343.19/1,055.24
  6. Step 6: Final answer
    x = 884.49

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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.