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Finding the Fourth Proportional to 628.58, 946.66 and 560.72

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Solution

The fourth proportional to 628.58, 946.66 and 560.72 is: 844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.58 : 946.66 = 560.72 : x
  2. Step 2: Convert to fraction form
    628.58/946.66 = 560.72/x
  3. Step 3: Cross multiply
    628.58x = 946.66 × 560.72
  4. Step 4: Simplify right side
    628.58x = 530,811.20
  5. Step 5: Solve for x
    x = 530,811.20/628.58
  6. Step 6: Final answer
    x = 844.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.