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Finding the Fourth Proportional to 662.90, 915.09 and 430.10

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Solution

The fourth proportional to 662.90, 915.09 and 430.10 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.90 : 915.09 = 430.10 : x
  2. Step 2: Convert to fraction form
    662.90/915.09 = 430.10/x
  3. Step 3: Cross multiply
    662.90x = 915.09 × 430.10
  4. Step 4: Simplify right side
    662.90x = 393,580.21
  5. Step 5: Solve for x
    x = 393,580.21/662.90
  6. Step 6: Final answer
    x = 593.72

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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.