Home / 1,565.07-2,156.31-1,033.00

Finding the Fourth Proportional to 1,565.07, 2,156.31 and 1,033.00

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Solution

The fourth proportional to 1,565.07, 2,156.31 and 1,033.00 is: 1,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.07 : 2,156.31 = 1,033.00 : x
  2. Step 2: Convert to fraction form
    1,565.07/2,156.31 = 1,033.00/x
  3. Step 3: Cross multiply
    1,565.07x = 2,156.31 × 1,033.00
  4. Step 4: Simplify right side
    1,565.07x = 2,227,474.80
  5. Step 5: Solve for x
    x = 2,227,474.80/1,565.07
  6. Step 6: Final answer
    x = 1,423.25

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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.