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Finding the Fourth Proportional to 665.77, 989.67 and 646.08

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Solution

The fourth proportional to 665.77, 989.67 and 646.08 is: 960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.77 : 989.67 = 646.08 : x
  2. Step 2: Convert to fraction form
    665.77/989.67 = 646.08/x
  3. Step 3: Cross multiply
    665.77x = 989.67 × 646.08
  4. Step 4: Simplify right side
    665.77x = 639,402.76
  5. Step 5: Solve for x
    x = 639,402.76/665.77
  6. Step 6: Final answer
    x = 960.40

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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.