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Finding the Fourth Proportional to 477.08, 710.64 and 456.02

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Solution

The fourth proportional to 477.08, 710.64 and 456.02 is: 679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.08 : 710.64 = 456.02 : x
  2. Step 2: Convert to fraction form
    477.08/710.64 = 456.02/x
  3. Step 3: Cross multiply
    477.08x = 710.64 × 456.02
  4. Step 4: Simplify right side
    477.08x = 324,066.05
  5. Step 5: Solve for x
    x = 324,066.05/477.08
  6. Step 6: Final answer
    x = 679.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.