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Finding the Fourth Proportional to 1,306, 1,959.90 and 536.50

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Solution

The fourth proportional to 1,306, 1,959.90 and 536.50 is: 805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306 : 1,959.90 = 536.50 : x
  2. Step 2: Convert to fraction form
    1,306/1,959.90 = 536.50/x
  3. Step 3: Cross multiply
    1,306x = 1,959.90 × 536.50
  4. Step 4: Simplify right side
    1,306x = 1,051,486.35
  5. Step 5: Solve for x
    x = 1,051,486.35/1,306
  6. Step 6: Final answer
    x = 805.12

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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.