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Finding the Fourth Proportional to 1,985.76, 2,978.66 and 525.12

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Solution

The fourth proportional to 1,985.76, 2,978.66 and 525.12 is: 787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.76 : 2,978.66 = 525.12 : x
  2. Step 2: Convert to fraction form
    1,985.76/2,978.66 = 525.12/x
  3. Step 3: Cross multiply
    1,985.76x = 2,978.66 × 525.12
  4. Step 4: Simplify right side
    1,985.76x = 1,564,153.94
  5. Step 5: Solve for x
    x = 1,564,153.94/1,985.76
  6. Step 6: Final answer
    x = 787.69

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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.