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Finding the Fourth Proportional to 524.67, 786.24 and 293.28

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Solution

The fourth proportional to 524.67, 786.24 and 293.28 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.67 : 786.24 = 293.28 : x
  2. Step 2: Convert to fraction form
    524.67/786.24 = 293.28/x
  3. Step 3: Cross multiply
    524.67x = 786.24 × 293.28
  4. Step 4: Simplify right side
    524.67x = 230,588.47
  5. Step 5: Solve for x
    x = 230,588.47/524.67
  6. Step 6: Final answer
    x = 439.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 525.67, 787.74 and 294.28
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.