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Finding the Fourth Proportional to 1,021.63, 1,410.27 and 690.50

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Solution

The fourth proportional to 1,021.63, 1,410.27 and 690.50 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.63 : 1,410.27 = 690.50 : x
  2. Step 2: Convert to fraction form
    1,021.63/1,410.27 = 690.50/x
  3. Step 3: Cross multiply
    1,021.63x = 1,410.27 × 690.50
  4. Step 4: Simplify right side
    1,021.63x = 973,793.26
  5. Step 5: Solve for x
    x = 973,793.26/1,021.63
  6. Step 6: Final answer
    x = 953.18

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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.