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Finding the Fourth Proportional to 775.15, 1,068.94 and 707.72

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Solution

The fourth proportional to 775.15, 1,068.94 and 707.72 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.15 : 1,068.94 = 707.72 : x
  2. Step 2: Convert to fraction form
    775.15/1,068.94 = 707.72/x
  3. Step 3: Cross multiply
    775.15x = 1,068.94 × 707.72
  4. Step 4: Simplify right side
    775.15x = 756,510.22
  5. Step 5: Solve for x
    x = 756,510.22/775.15
  6. Step 6: Final answer
    x = 975.95

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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.