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Finding the Fourth Proportional to 1,055.47, 1,456.46 and 589.63

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Solution

The fourth proportional to 1,055.47, 1,456.46 and 589.63 is: 813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.47 : 1,456.46 = 589.63 : x
  2. Step 2: Convert to fraction form
    1,055.47/1,456.46 = 589.63/x
  3. Step 3: Cross multiply
    1,055.47x = 1,456.46 × 589.63
  4. Step 4: Simplify right side
    1,055.47x = 858,765.23
  5. Step 5: Solve for x
    x = 858,765.23/1,055.47
  6. Step 6: Final answer
    x = 813.64

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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.