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Finding the Fourth Proportional to 665.64, 918.14 and 432.77

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Solution

The fourth proportional to 665.64, 918.14 and 432.77 is: 596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 918.14 = 432.77 : x
  2. Step 2: Convert to fraction form
    665.64/918.14 = 432.77/x
  3. Step 3: Cross multiply
    665.64x = 918.14 × 432.77
  4. Step 4: Simplify right side
    665.64x = 397,336.69
  5. Step 5: Solve for x
    x = 397,336.69/665.64
  6. Step 6: Final answer
    x = 596.92

Related Problems

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Half scale
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Double scale
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1.5x scale

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.