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Finding the Fourth Proportional to 1,325.30, 1,987.90 and 535.00

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Solution

The fourth proportional to 1,325.30, 1,987.90 and 535.00 is: 802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.30 : 1,987.90 = 535.00 : x
  2. Step 2: Convert to fraction form
    1,325.30/1,987.90 = 535.00/x
  3. Step 3: Cross multiply
    1,325.30x = 1,987.90 × 535.00
  4. Step 4: Simplify right side
    1,325.30x = 1,063,528.65
  5. Step 5: Solve for x
    x = 1,063,528.65/1,325.30
  6. Step 6: Final answer
    x = 802.48

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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.