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Finding the Fourth Proportional to 647.48, 964.63 and 607.70

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Solution

The fourth proportional to 647.48, 964.63 and 607.70 is: 905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.48 : 964.63 = 607.70 : x
  2. Step 2: Convert to fraction form
    647.48/964.63 = 607.70/x
  3. Step 3: Cross multiply
    647.48x = 964.63 × 607.70
  4. Step 4: Simplify right side
    647.48x = 586,205.65
  5. Step 5: Solve for x
    x = 586,205.65/647.48
  6. Step 6: Final answer
    x = 905.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.