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Finding the Fourth Proportional to 1,985.87, 2,978.46 and 525.17

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Solution

The fourth proportional to 1,985.87, 2,978.46 and 525.17 is: 787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.87 : 2,978.46 = 525.17 : x
  2. Step 2: Convert to fraction form
    1,985.87/2,978.46 = 525.17/x
  3. Step 3: Cross multiply
    1,985.87x = 2,978.46 × 525.17
  4. Step 4: Simplify right side
    1,985.87x = 1,564,181.63
  5. Step 5: Solve for x
    x = 1,564,181.63/1,985.87
  6. Step 6: Final answer
    x = 787.66

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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.