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Finding the Fourth Proportional to 470.04, 700.46 and 455.37

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Solution

The fourth proportional to 470.04, 700.46 and 455.37 is: 678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.04 : 700.46 = 455.37 : x
  2. Step 2: Convert to fraction form
    470.04/700.46 = 455.37/x
  3. Step 3: Cross multiply
    470.04x = 700.46 × 455.37
  4. Step 4: Simplify right side
    470.04x = 318,966.19
  5. Step 5: Solve for x
    x = 318,966.19/470.04
  6. Step 6: Final answer
    x = 678.59

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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.