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Finding the Fourth Proportional to 612.21, 916.26 and 561.63

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Solution

The fourth proportional to 612.21, 916.26 and 561.63 is: 840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.21 : 916.26 = 561.63 : x
  2. Step 2: Convert to fraction form
    612.21/916.26 = 561.63/x
  3. Step 3: Cross multiply
    612.21x = 916.26 × 561.63
  4. Step 4: Simplify right side
    612.21x = 514,599.10
  5. Step 5: Solve for x
    x = 514,599.10/612.21
  6. Step 6: Final answer
    x = 840.56

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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.