Home / 1,478.02-2,039.73-814.93

Finding the Fourth Proportional to 1,478.02, 2,039.73 and 814.93

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Solution

The fourth proportional to 1,478.02, 2,039.73 and 814.93 is: 1,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.02 : 2,039.73 = 814.93 : x
  2. Step 2: Convert to fraction form
    1,478.02/2,039.73 = 814.93/x
  3. Step 3: Cross multiply
    1,478.02x = 2,039.73 × 814.93
  4. Step 4: Simplify right side
    1,478.02x = 1,662,237.17
  5. Step 5: Solve for x
    x = 1,662,237.17/1,478.02
  6. Step 6: Final answer
    x = 1,124.64

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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.