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Finding the Fourth Proportional to 776.55, 1,070.64 and 610.50

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Solution

The fourth proportional to 776.55, 1,070.64 and 610.50 is: 841.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.55 : 1,070.64 = 610.50 : x
  2. Step 2: Convert to fraction form
    776.55/1,070.64 = 610.50/x
  3. Step 3: Cross multiply
    776.55x = 1,070.64 × 610.50
  4. Step 4: Simplify right side
    776.55x = 653,625.72
  5. Step 5: Solve for x
    x = 653,625.72/776.55
  6. Step 6: Final answer
    x = 841.70

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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.