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Finding the Fourth Proportional to 612.47, 916.64 and 561.89

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Solution

The fourth proportional to 612.47, 916.64 and 561.89 is: 840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.47 : 916.64 = 561.89 : x
  2. Step 2: Convert to fraction form
    612.47/916.64 = 561.89/x
  3. Step 3: Cross multiply
    612.47x = 916.64 × 561.89
  4. Step 4: Simplify right side
    612.47x = 515,043.46
  5. Step 5: Solve for x
    x = 515,043.46/612.47
  6. Step 6: Final answer
    x = 840.94

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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.