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Finding the Fourth Proportional to 780.04, 1,168.69 and 695.30

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Solution

The fourth proportional to 780.04, 1,168.69 and 695.30 is: 1,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.04 : 1,168.69 = 695.30 : x
  2. Step 2: Convert to fraction form
    780.04/1,168.69 = 695.30/x
  3. Step 3: Cross multiply
    780.04x = 1,168.69 × 695.30
  4. Step 4: Simplify right side
    780.04x = 812,590.16
  5. Step 5: Solve for x
    x = 812,590.16/780.04
  6. Step 6: Final answer
    x = 1,041.73

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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.