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Finding the Fourth Proportional to 588.75, 812.54 and 355.88

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Solution

The fourth proportional to 588.75, 812.54 and 355.88 is: 491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 812.54 = 355.88 : x
  2. Step 2: Convert to fraction form
    588.75/812.54 = 355.88/x
  3. Step 3: Cross multiply
    588.75x = 812.54 × 355.88
  4. Step 4: Simplify right side
    588.75x = 289,166.74
  5. Step 5: Solve for x
    x = 289,166.74/588.75
  6. Step 6: Final answer
    x = 491.15

Related Problems

Find fourth proportional to 294.38, 406.27 and 177.94
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Double scale
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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.