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Finding the Fourth Proportional to 1,415.41, 1,953.26 and 777.35

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Solution

The fourth proportional to 1,415.41, 1,953.26 and 777.35 is: 1,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.41 : 1,953.26 = 777.35 : x
  2. Step 2: Convert to fraction form
    1,415.41/1,953.26 = 777.35/x
  3. Step 3: Cross multiply
    1,415.41x = 1,953.26 × 777.35
  4. Step 4: Simplify right side
    1,415.41x = 1,518,358.84
  5. Step 5: Solve for x
    x = 1,518,358.84/1,415.41
  6. Step 6: Final answer
    x = 1,072.74

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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.