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Finding the Fourth Proportional to 645.74, 970.02 and 530.44

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Solution

The fourth proportional to 645.74, 970.02 and 530.44 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.74 : 970.02 = 530.44 : x
  2. Step 2: Convert to fraction form
    645.74/970.02 = 530.44/x
  3. Step 3: Cross multiply
    645.74x = 970.02 × 530.44
  4. Step 4: Simplify right side
    645.74x = 514,537.41
  5. Step 5: Solve for x
    x = 514,537.41/645.74
  6. Step 6: Final answer
    x = 796.82

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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.