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Finding the Fourth Proportional to 1,055.54, 1,456.77 and 589.70

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Solution

The fourth proportional to 1,055.54, 1,456.77 and 589.70 is: 813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.54 : 1,456.77 = 589.70 : x
  2. Step 2: Convert to fraction form
    1,055.54/1,456.77 = 589.70/x
  3. Step 3: Cross multiply
    1,055.54x = 1,456.77 × 589.70
  4. Step 4: Simplify right side
    1,055.54x = 859,057.27
  5. Step 5: Solve for x
    x = 859,057.27/1,055.54
  6. Step 6: Final answer
    x = 813.86

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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.