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Finding the Fourth Proportional to 528.84, 730.08 and 398.16

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Solution

The fourth proportional to 528.84, 730.08 and 398.16 is: 549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 730.08 = 398.16 : x
  2. Step 2: Convert to fraction form
    528.84/730.08 = 398.16/x
  3. Step 3: Cross multiply
    528.84x = 730.08 × 398.16
  4. Step 4: Simplify right side
    528.84x = 290,688.65
  5. Step 5: Solve for x
    x = 290,688.65/528.84
  6. Step 6: Final answer
    x = 549.67

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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.