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Finding the Fourth Proportional to 556.69, 834.36 and 313.15

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Solution

The fourth proportional to 556.69, 834.36 and 313.15 is: 469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.69 : 834.36 = 313.15 : x
  2. Step 2: Convert to fraction form
    556.69/834.36 = 313.15/x
  3. Step 3: Cross multiply
    556.69x = 834.36 × 313.15
  4. Step 4: Simplify right side
    556.69x = 261,279.83
  5. Step 5: Solve for x
    x = 261,279.83/556.69
  6. Step 6: Final answer
    x = 469.35

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Double scale
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1.5x scale

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.