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Finding the Fourth Proportional to 1,214.79, 1,675.30 and 822.34

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Solution

The fourth proportional to 1,214.79, 1,675.30 and 822.34 is: 1,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.79 : 1,675.30 = 822.34 : x
  2. Step 2: Convert to fraction form
    1,214.79/1,675.30 = 822.34/x
  3. Step 3: Cross multiply
    1,214.79x = 1,675.30 × 822.34
  4. Step 4: Simplify right side
    1,214.79x = 1,377,666.20
  5. Step 5: Solve for x
    x = 1,377,666.20/1,214.79
  6. Step 6: Final answer
    x = 1,134.08

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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.