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Finding the Fourth Proportional to 652.64, 980.78 and 536.00

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Solution

The fourth proportional to 652.64, 980.78 and 536.00 is: 805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.64 : 980.78 = 536.00 : x
  2. Step 2: Convert to fraction form
    652.64/980.78 = 536.00/x
  3. Step 3: Cross multiply
    652.64x = 980.78 × 536.00
  4. Step 4: Simplify right side
    652.64x = 525,690.50
  5. Step 5: Solve for x
    x = 525,690.50/652.64
  6. Step 6: Final answer
    x = 805.49

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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.