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Finding the Fourth Proportional to 833.19, 1,254.64 and 688.30

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Solution

The fourth proportional to 833.19, 1,254.64 and 688.30 is: 1,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.19 : 1,254.64 = 688.30 : x
  2. Step 2: Convert to fraction form
    833.19/1,254.64 = 688.30/x
  3. Step 3: Cross multiply
    833.19x = 1,254.64 × 688.30
  4. Step 4: Simplify right side
    833.19x = 863,565.15
  5. Step 5: Solve for x
    x = 863,565.15/833.19
  6. Step 6: Final answer
    x = 1,036.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.