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Finding the Fourth Proportional to 654.75, 903.64 and 378.75

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Solution

The fourth proportional to 654.75, 903.64 and 378.75 is: 522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 903.64 = 378.75 : x
  2. Step 2: Convert to fraction form
    654.75/903.64 = 378.75/x
  3. Step 3: Cross multiply
    654.75x = 903.64 × 378.75
  4. Step 4: Simplify right side
    654.75x = 342,253.65
  5. Step 5: Solve for x
    x = 342,253.65/654.75
  6. Step 6: Final answer
    x = 522.72

Related Problems

Find fourth proportional to 327.38, 451.82 and 189.38
Half scale
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Double scale
Find fourth proportional to 655.75, 905.02 and 379.75
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.