Home / 1,032.39-1,424.77-590.31

Finding the Fourth Proportional to 1,032.39, 1,424.77 and 590.31

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Solution

The fourth proportional to 1,032.39, 1,424.77 and 590.31 is: 814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.39 : 1,424.77 = 590.31 : x
  2. Step 2: Convert to fraction form
    1,032.39/1,424.77 = 590.31/x
  3. Step 3: Cross multiply
    1,032.39x = 1,424.77 × 590.31
  4. Step 4: Simplify right side
    1,032.39x = 841,054.50
  5. Step 5: Solve for x
    x = 841,054.50/1,032.39
  6. Step 6: Final answer
    x = 814.67

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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.