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Finding the Fourth Proportional to 953.15, 1,430.25 and 466.20

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Solution

The fourth proportional to 953.15, 1,430.25 and 466.20 is: 699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.15 : 1,430.25 = 466.20 : x
  2. Step 2: Convert to fraction form
    953.15/1,430.25 = 466.20/x
  3. Step 3: Cross multiply
    953.15x = 1,430.25 × 466.20
  4. Step 4: Simplify right side
    953.15x = 666,782.55
  5. Step 5: Solve for x
    x = 666,782.55/953.15
  6. Step 6: Final answer
    x = 699.56

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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.