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Finding the Fourth Proportional to 664.75, 914.46 and 638.11

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Solution

The fourth proportional to 664.75, 914.46 and 638.11 is: 877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.75 : 914.46 = 638.11 : x
  2. Step 2: Convert to fraction form
    664.75/914.46 = 638.11/x
  3. Step 3: Cross multiply
    664.75x = 914.46 × 638.11
  4. Step 4: Simplify right side
    664.75x = 583,526.07
  5. Step 5: Solve for x
    x = 583,526.07/664.75
  6. Step 6: Final answer
    x = 877.81

Related Problems

Find fourth proportional to 332.38, 457.23 and 319.06
Half scale
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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.