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Finding the Fourth Proportional to 612.19, 913.12 and 513.54

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Solution

The fourth proportional to 612.19, 913.12 and 513.54 is: 765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.19 : 913.12 = 513.54 : x
  2. Step 2: Convert to fraction form
    612.19/913.12 = 513.54/x
  3. Step 3: Cross multiply
    612.19x = 913.12 × 513.54
  4. Step 4: Simplify right side
    612.19x = 468,925.25
  5. Step 5: Solve for x
    x = 468,925.25/612.19
  6. Step 6: Final answer
    x = 765.98

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