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Finding the Fourth Proportional to 669.08, 923.16 and 407.10

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Solution

The fourth proportional to 669.08, 923.16 and 407.10 is: 561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 923.16 = 407.10 : x
  2. Step 2: Convert to fraction form
    669.08/923.16 = 407.10/x
  3. Step 3: Cross multiply
    669.08x = 923.16 × 407.10
  4. Step 4: Simplify right side
    669.08x = 375,818.44
  5. Step 5: Solve for x
    x = 375,818.44/669.08
  6. Step 6: Final answer
    x = 561.69

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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.