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Finding the Fourth Proportional to 652.56, 898.97 and 559.01

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Solution

The fourth proportional to 652.56, 898.97 and 559.01 is: 770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 898.97 = 559.01 : x
  2. Step 2: Convert to fraction form
    652.56/898.97 = 559.01/x
  3. Step 3: Cross multiply
    652.56x = 898.97 × 559.01
  4. Step 4: Simplify right side
    652.56x = 502,525.93
  5. Step 5: Solve for x
    x = 502,525.93/652.56
  6. Step 6: Final answer
    x = 770.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.