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Finding the Fourth Proportional to 588.77, 812.46 and 340.07

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Solution

The fourth proportional to 588.77, 812.46 and 340.07 is: 469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.77 : 812.46 = 340.07 : x
  2. Step 2: Convert to fraction form
    588.77/812.46 = 340.07/x
  3. Step 3: Cross multiply
    588.77x = 812.46 × 340.07
  4. Step 4: Simplify right side
    588.77x = 276,289.21
  5. Step 5: Solve for x
    x = 276,289.21/588.77
  6. Step 6: Final answer
    x = 469.27

Related Problems

Find fourth proportional to 294.38, 406.23 and 170.03
Half scale
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Double scale
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Similar ratio
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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.