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Finding the Fourth Proportional to 931.49, 1,398.69 and 802.94

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Solution

The fourth proportional to 931.49, 1,398.69 and 802.94 is: 1,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.49 : 1,398.69 = 802.94 : x
  2. Step 2: Convert to fraction form
    931.49/1,398.69 = 802.94/x
  3. Step 3: Cross multiply
    931.49x = 1,398.69 × 802.94
  4. Step 4: Simplify right side
    931.49x = 1,123,053.14
  5. Step 5: Solve for x
    x = 1,123,053.14/931.49
  6. Step 6: Final answer
    x = 1,205.65

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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.