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Finding the Fourth Proportional to 524.10, 786.14 and 420.87

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Solution

The fourth proportional to 524.10, 786.14 and 420.87 is: 631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.10 : 786.14 = 420.87 : x
  2. Step 2: Convert to fraction form
    524.10/786.14 = 420.87/x
  3. Step 3: Cross multiply
    524.10x = 786.14 × 420.87
  4. Step 4: Simplify right side
    524.10x = 330,862.74
  5. Step 5: Solve for x
    x = 330,862.74/524.10
  6. Step 6: Final answer
    x = 631.30

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Double scale
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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.