Home / 1,407.08-1,941.74-777.50

Finding the Fourth Proportional to 1,407.08, 1,941.74 and 777.50

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Solution

The fourth proportional to 1,407.08, 1,941.74 and 777.50 is: 1,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.08 : 1,941.74 = 777.50 : x
  2. Step 2: Convert to fraction form
    1,407.08/1,941.74 = 777.50/x
  3. Step 3: Cross multiply
    1,407.08x = 1,941.74 × 777.50
  4. Step 4: Simplify right side
    1,407.08x = 1,509,702.85
  5. Step 5: Solve for x
    x = 1,509,702.85/1,407.08
  6. Step 6: Final answer
    x = 1,072.93

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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.