Home / 1,407.02-1,941.80-777.60

Finding the Fourth Proportional to 1,407.02, 1,941.80 and 777.60

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Solution

The fourth proportional to 1,407.02, 1,941.80 and 777.60 is: 1,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.02 : 1,941.80 = 777.60 : x
  2. Step 2: Convert to fraction form
    1,407.02/1,941.80 = 777.60/x
  3. Step 3: Cross multiply
    1,407.02x = 1,941.80 × 777.60
  4. Step 4: Simplify right side
    1,407.02x = 1,509,943.68
  5. Step 5: Solve for x
    x = 1,509,943.68/1,407.02
  6. Step 6: Final answer
    x = 1,073.15

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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.