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Finding the Fourth Proportional to 776.63, 1,071.42 and 658.10

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Solution

The fourth proportional to 776.63, 1,071.42 and 658.10 is: 907.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.63 : 1,071.42 = 658.10 : x
  2. Step 2: Convert to fraction form
    776.63/1,071.42 = 658.10/x
  3. Step 3: Cross multiply
    776.63x = 1,071.42 × 658.10
  4. Step 4: Simplify right side
    776.63x = 705,101.50
  5. Step 5: Solve for x
    x = 705,101.50/776.63
  6. Step 6: Final answer
    x = 907.90

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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.