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Finding the Fourth Proportional to 669.51, 924.08 and 407.70

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Solution

The fourth proportional to 669.51, 924.08 and 407.70 is: 562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.51 : 924.08 = 407.70 : x
  2. Step 2: Convert to fraction form
    669.51/924.08 = 407.70/x
  3. Step 3: Cross multiply
    669.51x = 924.08 × 407.70
  4. Step 4: Simplify right side
    669.51x = 376,745.38
  5. Step 5: Solve for x
    x = 376,745.38/669.51
  6. Step 6: Final answer
    x = 562.72

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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.