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Finding the Fourth Proportional to 1,125.81, 1,686.66 and 778.16

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Solution

The fourth proportional to 1,125.81, 1,686.66 and 778.16 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.81 : 1,686.66 = 778.16 : x
  2. Step 2: Convert to fraction form
    1,125.81/1,686.66 = 778.16/x
  3. Step 3: Cross multiply
    1,125.81x = 1,686.66 × 778.16
  4. Step 4: Simplify right side
    1,125.81x = 1,312,492.64
  5. Step 5: Solve for x
    x = 1,312,492.64/1,125.81
  6. Step 6: Final answer
    x = 1,165.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.