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Finding the Fourth Proportional to 1,602.80, 2,403.96 and 507.32

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Solution

The fourth proportional to 1,602.80, 2,403.96 and 507.32 is: 760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.80 : 2,403.96 = 507.32 : x
  2. Step 2: Convert to fraction form
    1,602.80/2,403.96 = 507.32/x
  3. Step 3: Cross multiply
    1,602.80x = 2,403.96 × 507.32
  4. Step 4: Simplify right side
    1,602.80x = 1,219,576.99
  5. Step 5: Solve for x
    x = 1,219,576.99/1,602.80
  6. Step 6: Final answer
    x = 760.90

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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.