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Finding the Fourth Proportional to 1,477.52, 2,216.62 and 437.50

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Solution

The fourth proportional to 1,477.52, 2,216.62 and 437.50 is: 656.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.52 : 2,216.62 = 437.50 : x
  2. Step 2: Convert to fraction form
    1,477.52/2,216.62 = 437.50/x
  3. Step 3: Cross multiply
    1,477.52x = 2,216.62 × 437.50
  4. Step 4: Simplify right side
    1,477.52x = 969,771.25
  5. Step 5: Solve for x
    x = 969,771.25/1,477.52
  6. Step 6: Final answer
    x = 656.35

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Double scale
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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.