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Finding the Fourth Proportional to 610.94, 916.76 and 564.50

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Solution

The fourth proportional to 610.94, 916.76 and 564.50 is: 847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.94 : 916.76 = 564.50 : x
  2. Step 2: Convert to fraction form
    610.94/916.76 = 564.50/x
  3. Step 3: Cross multiply
    610.94x = 916.76 × 564.50
  4. Step 4: Simplify right side
    610.94x = 517,511.02
  5. Step 5: Solve for x
    x = 517,511.02/610.94
  6. Step 6: Final answer
    x = 847.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.