Home / 1,023.02-1,532.56-631.88

Finding the Fourth Proportional to 1,023.02, 1,532.56 and 631.88

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Solution

The fourth proportional to 1,023.02, 1,532.56 and 631.88 is: 946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.02 : 1,532.56 = 631.88 : x
  2. Step 2: Convert to fraction form
    1,023.02/1,532.56 = 631.88/x
  3. Step 3: Cross multiply
    1,023.02x = 1,532.56 × 631.88
  4. Step 4: Simplify right side
    1,023.02x = 968,394.01
  5. Step 5: Solve for x
    x = 968,394.01/1,023.02
  6. Step 6: Final answer
    x = 946.60

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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.