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Finding the Fourth Proportional to 612.70, 856.70 and 612.70

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Solution

The fourth proportional to 612.70, 856.70 and 612.70 is: 856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.70 : 856.70 = 612.70 : x
  2. Step 2: Convert to fraction form
    612.70/856.70 = 612.70/x
  3. Step 3: Cross multiply
    612.70x = 856.70 × 612.70
  4. Step 4: Simplify right side
    612.70x = 524,900.09
  5. Step 5: Solve for x
    x = 524,900.09/612.70
  6. Step 6: Final answer
    x = 856.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.