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Finding the Fourth Proportional to 1,214.16, 1,675.84 and 690.49

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Solution

The fourth proportional to 1,214.16, 1,675.84 and 690.49 is: 953.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.16 : 1,675.84 = 690.49 : x
  2. Step 2: Convert to fraction form
    1,214.16/1,675.84 = 690.49/x
  3. Step 3: Cross multiply
    1,214.16x = 1,675.84 × 690.49
  4. Step 4: Simplify right side
    1,214.16x = 1,157,152.42
  5. Step 5: Solve for x
    x = 1,157,152.42/1,214.16
  6. Step 6: Final answer
    x = 953.05

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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.