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Finding the Fourth Proportional to 1,602.55, 2,403.52 and 678.76

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Solution

The fourth proportional to 1,602.55, 2,403.52 and 678.76 is: 1,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.55 : 2,403.52 = 678.76 : x
  2. Step 2: Convert to fraction form
    1,602.55/2,403.52 = 678.76/x
  3. Step 3: Cross multiply
    1,602.55x = 2,403.52 × 678.76
  4. Step 4: Simplify right side
    1,602.55x = 1,631,405.53
  5. Step 5: Solve for x
    x = 1,631,405.53/1,602.55
  6. Step 6: Final answer
    x = 1,018.01

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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.