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Finding the Fourth Proportional to 776.51, 1,068.54 and 771.71

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Solution

The fourth proportional to 776.51, 1,068.54 and 771.71 is: 1,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.51 : 1,068.54 = 771.71 : x
  2. Step 2: Convert to fraction form
    776.51/1,068.54 = 771.71/x
  3. Step 3: Cross multiply
    776.51x = 1,068.54 × 771.71
  4. Step 4: Simplify right side
    776.51x = 824,603.00
  5. Step 5: Solve for x
    x = 824,603.00/776.51
  6. Step 6: Final answer
    x = 1,061.93

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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.