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Finding the Fourth Proportional to 1,111.02, 1,530.51 and 778.80

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Solution

The fourth proportional to 1,111.02, 1,530.51 and 778.80 is: 1,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.02 : 1,530.51 = 778.80 : x
  2. Step 2: Convert to fraction form
    1,111.02/1,530.51 = 778.80/x
  3. Step 3: Cross multiply
    1,111.02x = 1,530.51 × 778.80
  4. Step 4: Simplify right side
    1,111.02x = 1,191,961.19
  5. Step 5: Solve for x
    x = 1,191,961.19/1,111.02
  6. Step 6: Final answer
    x = 1,072.85

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1.5x scale

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.