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Finding the Fourth Proportional to 473.19, 653.40 and 307.69

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Solution

The fourth proportional to 473.19, 653.40 and 307.69 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.19 : 653.40 = 307.69 : x
  2. Step 2: Convert to fraction form
    473.19/653.40 = 307.69/x
  3. Step 3: Cross multiply
    473.19x = 653.40 × 307.69
  4. Step 4: Simplify right side
    473.19x = 201,044.65
  5. Step 5: Solve for x
    x = 201,044.65/473.19
  6. Step 6: Final answer
    x = 424.87

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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.