Home / 1,030.14-1,542.45-617.34

Finding the Fourth Proportional to 1,030.14, 1,542.45 and 617.34

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Solution

The fourth proportional to 1,030.14, 1,542.45 and 617.34 is: 924.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.14 : 1,542.45 = 617.34 : x
  2. Step 2: Convert to fraction form
    1,030.14/1,542.45 = 617.34/x
  3. Step 3: Cross multiply
    1,030.14x = 1,542.45 × 617.34
  4. Step 4: Simplify right side
    1,030.14x = 952,216.08
  5. Step 5: Solve for x
    x = 952,216.08/1,030.14
  6. Step 6: Final answer
    x = 924.36

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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.