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Finding the Fourth Proportional to 1,055.58, 1,456.70 and 589.83

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Solution

The fourth proportional to 1,055.58, 1,456.70 and 589.83 is: 813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.58 : 1,456.70 = 589.83 : x
  2. Step 2: Convert to fraction form
    1,055.58/1,456.70 = 589.83/x
  3. Step 3: Cross multiply
    1,055.58x = 1,456.70 × 589.83
  4. Step 4: Simplify right side
    1,055.58x = 859,202.41
  5. Step 5: Solve for x
    x = 859,202.41/1,055.58
  6. Step 6: Final answer
    x = 813.96

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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.