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Finding the Fourth Proportional to 651.98, 977.42 and 286.49

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Solution

The fourth proportional to 651.98, 977.42 and 286.49 is: 429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.98 : 977.42 = 286.49 : x
  2. Step 2: Convert to fraction form
    651.98/977.42 = 286.49/x
  3. Step 3: Cross multiply
    651.98x = 977.42 × 286.49
  4. Step 4: Simplify right side
    651.98x = 280,014.74
  5. Step 5: Solve for x
    x = 280,014.74/651.98
  6. Step 6: Final answer
    x = 429.49

Related Problems

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Half scale
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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.