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Finding the Fourth Proportional to 474.86, 708.55 and 459.07

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Solution

The fourth proportional to 474.86, 708.55 and 459.07 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 708.55 = 459.07 : x
  2. Step 2: Convert to fraction form
    474.86/708.55 = 459.07/x
  3. Step 3: Cross multiply
    474.86x = 708.55 × 459.07
  4. Step 4: Simplify right side
    474.86x = 325,271.13
  5. Step 5: Solve for x
    x = 325,271.13/474.86
  6. Step 6: Final answer
    x = 684.98

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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.