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Finding the Fourth Proportional to 612.95, 914.24 and 514.29

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Solution

The fourth proportional to 612.95, 914.24 and 514.29 is: 767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.95 : 914.24 = 514.29 : x
  2. Step 2: Convert to fraction form
    612.95/914.24 = 514.29/x
  3. Step 3: Cross multiply
    612.95x = 914.24 × 514.29
  4. Step 4: Simplify right side
    612.95x = 470,185.78
  5. Step 5: Solve for x
    x = 470,185.78/612.95
  6. Step 6: Final answer
    x = 767.09

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1.5x scale

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.