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Finding the Fourth Proportional to 664.61, 918.41 and 507.06

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Solution

The fourth proportional to 664.61, 918.41 and 507.06 is: 700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 918.41 = 507.06 : x
  2. Step 2: Convert to fraction form
    664.61/918.41 = 507.06/x
  3. Step 3: Cross multiply
    664.61x = 918.41 × 507.06
  4. Step 4: Simplify right side
    664.61x = 465,686.44
  5. Step 5: Solve for x
    x = 465,686.44/664.61
  6. Step 6: Final answer
    x = 700.70

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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.