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Finding the Fourth Proportional to 1,055.93, 1,583.89 and 470.78

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Solution

The fourth proportional to 1,055.93, 1,583.89 and 470.78 is: 706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.93 : 1,583.89 = 470.78 : x
  2. Step 2: Convert to fraction form
    1,055.93/1,583.89 = 470.78/x
  3. Step 3: Cross multiply
    1,055.93x = 1,583.89 × 470.78
  4. Step 4: Simplify right side
    1,055.93x = 745,663.73
  5. Step 5: Solve for x
    x = 745,663.73/1,055.93
  6. Step 6: Final answer
    x = 706.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.