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Finding the Fourth Proportional to 566.34, 782.30 and 456.24

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Solution

The fourth proportional to 566.34, 782.30 and 456.24 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 782.30 = 456.24 : x
  2. Step 2: Convert to fraction form
    566.34/782.30 = 456.24/x
  3. Step 3: Cross multiply
    566.34x = 782.30 × 456.24
  4. Step 4: Simplify right side
    566.34x = 356,916.55
  5. Step 5: Solve for x
    x = 356,916.55/566.34
  6. Step 6: Final answer
    x = 630.22

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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.