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Finding the Fourth Proportional to 934.93, 1,288.12 and 776.67

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Solution

The fourth proportional to 934.93, 1,288.12 and 776.67 is: 1,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.93 : 1,288.12 = 776.67 : x
  2. Step 2: Convert to fraction form
    934.93/1,288.12 = 776.67/x
  3. Step 3: Cross multiply
    934.93x = 1,288.12 × 776.67
  4. Step 4: Simplify right side
    934.93x = 1,000,444.16
  5. Step 5: Solve for x
    x = 1,000,444.16/934.93
  6. Step 6: Final answer
    x = 1,070.07

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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.