Home / 1,567.02-2,162.97-904.31

Finding the Fourth Proportional to 1,567.02, 2,162.97 and 904.31

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Solution

The fourth proportional to 1,567.02, 2,162.97 and 904.31 is: 1,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.02 : 2,162.97 = 904.31 : x
  2. Step 2: Convert to fraction form
    1,567.02/2,162.97 = 904.31/x
  3. Step 3: Cross multiply
    1,567.02x = 2,162.97 × 904.31
  4. Step 4: Simplify right side
    1,567.02x = 1,955,987.73
  5. Step 5: Solve for x
    x = 1,955,987.73/1,567.02
  6. Step 6: Final answer
    x = 1,248.22

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1.5x scale

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.