Home / 1,253.02-1,878.36-430.72

Finding the Fourth Proportional to 1,253.02, 1,878.36 and 430.72

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Solution

The fourth proportional to 1,253.02, 1,878.36 and 430.72 is: 645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.02 : 1,878.36 = 430.72 : x
  2. Step 2: Convert to fraction form
    1,253.02/1,878.36 = 430.72/x
  3. Step 3: Cross multiply
    1,253.02x = 1,878.36 × 430.72
  4. Step 4: Simplify right side
    1,253.02x = 809,047.22
  5. Step 5: Solve for x
    x = 809,047.22/1,253.02
  6. Step 6: Final answer
    x = 645.68

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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.