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Finding the Fourth Proportional to 990.68, 1,482.50 and 730.06

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Solution

The fourth proportional to 990.68, 1,482.50 and 730.06 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.68 : 1,482.50 = 730.06 : x
  2. Step 2: Convert to fraction form
    990.68/1,482.50 = 730.06/x
  3. Step 3: Cross multiply
    990.68x = 1,482.50 × 730.06
  4. Step 4: Simplify right side
    990.68x = 1,082,312.07
  5. Step 5: Solve for x
    x = 1,082,312.07/990.68
  6. Step 6: Final answer
    x = 1,092.50

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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.