Home / 1,055.93-1,582.34-508.37

Finding the Fourth Proportional to 1,055.93, 1,582.34 and 508.37

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Solution

The fourth proportional to 1,055.93, 1,582.34 and 508.37 is: 761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.93 : 1,582.34 = 508.37 : x
  2. Step 2: Convert to fraction form
    1,055.93/1,582.34 = 508.37/x
  3. Step 3: Cross multiply
    1,055.93x = 1,582.34 × 508.37
  4. Step 4: Simplify right side
    1,055.93x = 804,403.73
  5. Step 5: Solve for x
    x = 804,403.73/1,055.93
  6. Step 6: Final answer
    x = 761.80

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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.