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Finding the Fourth Proportional to 975.45, 1,460.84 and 536.03

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Solution

The fourth proportional to 975.45, 1,460.84 and 536.03 is: 802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.45 : 1,460.84 = 536.03 : x
  2. Step 2: Convert to fraction form
    975.45/1,460.84 = 536.03/x
  3. Step 3: Cross multiply
    975.45x = 1,460.84 × 536.03
  4. Step 4: Simplify right side
    975.45x = 783,046.76
  5. Step 5: Solve for x
    x = 783,046.76/975.45
  6. Step 6: Final answer
    x = 802.75

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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.