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Finding the Fourth Proportional to 630.40, 869.58 and 506.20

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Solution

The fourth proportional to 630.40, 869.58 and 506.20 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 869.58 = 506.20 : x
  2. Step 2: Convert to fraction form
    630.40/869.58 = 506.20/x
  3. Step 3: Cross multiply
    630.40x = 869.58 × 506.20
  4. Step 4: Simplify right side
    630.40x = 440,181.40
  5. Step 5: Solve for x
    x = 440,181.40/630.40
  6. Step 6: Final answer
    x = 698.26

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1.5x scale

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.