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Finding the Fourth Proportional to 523.01, 784.38 and 249.05

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Solution

The fourth proportional to 523.01, 784.38 and 249.05 is: 373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.01 : 784.38 = 249.05 : x
  2. Step 2: Convert to fraction form
    523.01/784.38 = 249.05/x
  3. Step 3: Cross multiply
    523.01x = 784.38 × 249.05
  4. Step 4: Simplify right side
    523.01x = 195,349.84
  5. Step 5: Solve for x
    x = 195,349.84/523.01
  6. Step 6: Final answer
    x = 373.51

Related Problems

Find fourth proportional to 261.51, 392.19 and 124.53
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Double scale
Find fourth proportional to 524.01, 785.88 and 250.05
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.