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Finding the Fourth Proportional to 588.76, 812.69 and 340.18

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Solution

The fourth proportional to 588.76, 812.69 and 340.18 is: 469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 812.69 = 340.18 : x
  2. Step 2: Convert to fraction form
    588.76/812.69 = 340.18/x
  3. Step 3: Cross multiply
    588.76x = 812.69 × 340.18
  4. Step 4: Simplify right side
    588.76x = 276,457.15
  5. Step 5: Solve for x
    x = 276,457.15/588.76
  6. Step 6: Final answer
    x = 469.56

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Find fourth proportional to 294.38, 406.34 and 170.09
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.