Home / 1,023.18-1,534.75-612.43

Finding the Fourth Proportional to 1,023.18, 1,534.75 and 612.43

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Solution

The fourth proportional to 1,023.18, 1,534.75 and 612.43 is: 918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.18 : 1,534.75 = 612.43 : x
  2. Step 2: Convert to fraction form
    1,023.18/1,534.75 = 612.43/x
  3. Step 3: Cross multiply
    1,023.18x = 1,534.75 × 612.43
  4. Step 4: Simplify right side
    1,023.18x = 939,925.02
  5. Step 5: Solve for x
    x = 939,925.02/1,023.18
  6. Step 6: Final answer
    x = 918.63

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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.