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Finding the Fourth Proportional to 612.88, 914.86 and 567.76

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Solution

The fourth proportional to 612.88, 914.86 and 567.76 is: 847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.88 : 914.86 = 567.76 : x
  2. Step 2: Convert to fraction form
    612.88/914.86 = 567.76/x
  3. Step 3: Cross multiply
    612.88x = 914.86 × 567.76
  4. Step 4: Simplify right side
    612.88x = 519,420.91
  5. Step 5: Solve for x
    x = 519,420.91/612.88
  6. Step 6: Final answer
    x = 847.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.