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Finding the Fourth Proportional to 1,225.84, 1,689.30 and 782.98

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Solution

The fourth proportional to 1,225.84, 1,689.30 and 782.98 is: 1,079.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.84 : 1,689.30 = 782.98 : x
  2. Step 2: Convert to fraction form
    1,225.84/1,689.30 = 782.98/x
  3. Step 3: Cross multiply
    1,225.84x = 1,689.30 × 782.98
  4. Step 4: Simplify right side
    1,225.84x = 1,322,688.11
  5. Step 5: Solve for x
    x = 1,322,688.11/1,225.84
  6. Step 6: Final answer
    x = 1,079.01

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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.