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Finding the Fourth Proportional to 932.99, 1,396.74 and 802.07

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Solution

The fourth proportional to 932.99, 1,396.74 and 802.07 is: 1,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.99 : 1,396.74 = 802.07 : x
  2. Step 2: Convert to fraction form
    932.99/1,396.74 = 802.07/x
  3. Step 3: Cross multiply
    932.99x = 1,396.74 × 802.07
  4. Step 4: Simplify right side
    932.99x = 1,120,283.25
  5. Step 5: Solve for x
    x = 1,120,283.25/932.99
  6. Step 6: Final answer
    x = 1,200.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.