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Finding the Fourth Proportional to 566.55, 782.28 and 456.55

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Solution

The fourth proportional to 566.55, 782.28 and 456.55 is: 630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.55 : 782.28 = 456.55 : x
  2. Step 2: Convert to fraction form
    566.55/782.28 = 456.55/x
  3. Step 3: Cross multiply
    566.55x = 782.28 × 456.55
  4. Step 4: Simplify right side
    566.55x = 357,146.02
  5. Step 5: Solve for x
    x = 357,146.02/566.55
  6. Step 6: Final answer
    x = 630.39

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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.