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Finding the Fourth Proportional to 654.05, 898.04 and 560.76

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Solution

The fourth proportional to 654.05, 898.04 and 560.76 is: 769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.05 : 898.04 = 560.76 : x
  2. Step 2: Convert to fraction form
    654.05/898.04 = 560.76/x
  3. Step 3: Cross multiply
    654.05x = 898.04 × 560.76
  4. Step 4: Simplify right side
    654.05x = 503,583.58
  5. Step 5: Solve for x
    x = 503,583.58/654.05
  6. Step 6: Final answer
    x = 769.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.