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Finding the Fourth Proportional to 1,062.21, 1,465.66 and 642.50

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Solution

The fourth proportional to 1,062.21, 1,465.66 and 642.50 is: 886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.21 : 1,465.66 = 642.50 : x
  2. Step 2: Convert to fraction form
    1,062.21/1,465.66 = 642.50/x
  3. Step 3: Cross multiply
    1,062.21x = 1,465.66 × 642.50
  4. Step 4: Simplify right side
    1,062.21x = 941,687.00
  5. Step 5: Solve for x
    x = 941,687.00/1,062.21
  6. Step 6: Final answer
    x = 886.54

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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.