Home / 1,045.02-1,563.24-953.78

Finding the Fourth Proportional to 1,045.02, 1,563.24 and 953.78

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Solution

The fourth proportional to 1,045.02, 1,563.24 and 953.78 is: 1,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.02 : 1,563.24 = 953.78 : x
  2. Step 2: Convert to fraction form
    1,045.02/1,563.24 = 953.78/x
  3. Step 3: Cross multiply
    1,045.02x = 1,563.24 × 953.78
  4. Step 4: Simplify right side
    1,045.02x = 1,490,987.05
  5. Step 5: Solve for x
    x = 1,490,987.05/1,045.02
  6. Step 6: Final answer
    x = 1,426.75

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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.