Home / 1,378.02-2,064.93-829.58

Finding the Fourth Proportional to 1,378.02, 2,064.93 and 829.58

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Solution

The fourth proportional to 1,378.02, 2,064.93 and 829.58 is: 1,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.02 : 2,064.93 = 829.58 : x
  2. Step 2: Convert to fraction form
    1,378.02/2,064.93 = 829.58/x
  3. Step 3: Cross multiply
    1,378.02x = 2,064.93 × 829.58
  4. Step 4: Simplify right side
    1,378.02x = 1,713,024.63
  5. Step 5: Solve for x
    x = 1,713,024.63/1,378.02
  6. Step 6: Final answer
    x = 1,243.11

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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.