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Finding the Fourth Proportional to 777.04, 1,162.98 and 670.12

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Solution

The fourth proportional to 777.04, 1,162.98 and 670.12 is: 1,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.04 : 1,162.98 = 670.12 : x
  2. Step 2: Convert to fraction form
    777.04/1,162.98 = 670.12/x
  3. Step 3: Cross multiply
    777.04x = 1,162.98 × 670.12
  4. Step 4: Simplify right side
    777.04x = 779,336.16
  5. Step 5: Solve for x
    x = 779,336.16/777.04
  6. Step 6: Final answer
    x = 1,002.96

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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.