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Finding the Fourth Proportional to 1,990.78, 2,985.96 and 530.08

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Solution

The fourth proportional to 1,990.78, 2,985.96 and 530.08 is: 795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.78 : 2,985.96 = 530.08 : x
  2. Step 2: Convert to fraction form
    1,990.78/2,985.96 = 530.08/x
  3. Step 3: Cross multiply
    1,990.78x = 2,985.96 × 530.08
  4. Step 4: Simplify right side
    1,990.78x = 1,582,797.68
  5. Step 5: Solve for x
    x = 1,582,797.68/1,990.78
  6. Step 6: Final answer
    x = 795.06

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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.