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Finding the Fourth Proportional to 434.61, 652.23 and 319.35

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Solution

The fourth proportional to 434.61, 652.23 and 319.35 is: 479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.61 : 652.23 = 319.35 : x
  2. Step 2: Convert to fraction form
    434.61/652.23 = 319.35/x
  3. Step 3: Cross multiply
    434.61x = 652.23 × 319.35
  4. Step 4: Simplify right side
    434.61x = 208,289.65
  5. Step 5: Solve for x
    x = 208,289.65/434.61
  6. Step 6: Final answer
    x = 479.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.