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Finding the Fourth Proportional to 1,225.35, 1,690.14 and 783.04

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Solution

The fourth proportional to 1,225.35, 1,690.14 and 783.04 is: 1,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.35 : 1,690.14 = 783.04 : x
  2. Step 2: Convert to fraction form
    1,225.35/1,690.14 = 783.04/x
  3. Step 3: Cross multiply
    1,225.35x = 1,690.14 × 783.04
  4. Step 4: Simplify right side
    1,225.35x = 1,323,447.23
  5. Step 5: Solve for x
    x = 1,323,447.23/1,225.35
  6. Step 6: Final answer
    x = 1,080.06

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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.