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Finding the Fourth Proportional to 564.02, 777.63 and 458.72

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Solution

The fourth proportional to 564.02, 777.63 and 458.72 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.02 : 777.63 = 458.72 : x
  2. Step 2: Convert to fraction form
    564.02/777.63 = 458.72/x
  3. Step 3: Cross multiply
    564.02x = 777.63 × 458.72
  4. Step 4: Simplify right side
    564.02x = 356,714.43
  5. Step 5: Solve for x
    x = 356,714.43/564.02
  6. Step 6: Final answer
    x = 632.45

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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.