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Finding the Fourth Proportional to 993.04, 1,368.80 and 782.86

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Solution

The fourth proportional to 993.04, 1,368.80 and 782.86 is: 1,079.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.04 : 1,368.80 = 782.86 : x
  2. Step 2: Convert to fraction form
    993.04/1,368.80 = 782.86/x
  3. Step 3: Cross multiply
    993.04x = 1,368.80 × 782.86
  4. Step 4: Simplify right side
    993.04x = 1,071,578.77
  5. Step 5: Solve for x
    x = 1,071,578.77/993.04
  6. Step 6: Final answer
    x = 1,079.09

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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.