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Finding the Fourth Proportional to 1,101.92, 1,521.98 and 802.68

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Solution

The fourth proportional to 1,101.92, 1,521.98 and 802.68 is: 1,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.92 : 1,521.98 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,101.92/1,521.98 = 802.68/x
  3. Step 3: Cross multiply
    1,101.92x = 1,521.98 × 802.68
  4. Step 4: Simplify right side
    1,101.92x = 1,221,658.89
  5. Step 5: Solve for x
    x = 1,221,658.89/1,101.92
  6. Step 6: Final answer
    x = 1,108.67

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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.