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Finding the Fourth Proportional to 790.04, 1,179.67 and 707.24

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Solution

The fourth proportional to 790.04, 1,179.67 and 707.24 is: 1,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.04 : 1,179.67 = 707.24 : x
  2. Step 2: Convert to fraction form
    790.04/1,179.67 = 707.24/x
  3. Step 3: Cross multiply
    790.04x = 1,179.67 × 707.24
  4. Step 4: Simplify right side
    790.04x = 834,309.81
  5. Step 5: Solve for x
    x = 834,309.81/790.04
  6. Step 6: Final answer
    x = 1,056.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.