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Finding the Fourth Proportional to 1,023.17, 1,533.58 and 437.87

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Solution

The fourth proportional to 1,023.17, 1,533.58 and 437.87 is: 656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.17 : 1,533.58 = 437.87 : x
  2. Step 2: Convert to fraction form
    1,023.17/1,533.58 = 437.87/x
  3. Step 3: Cross multiply
    1,023.17x = 1,533.58 × 437.87
  4. Step 4: Simplify right side
    1,023.17x = 671,511.41
  5. Step 5: Solve for x
    x = 671,511.41/1,023.17
  6. Step 6: Final answer
    x = 656.31

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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.