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Finding the Fourth Proportional to 474.15, 708.23 and 465.50

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Solution

The fourth proportional to 474.15, 708.23 and 465.50 is: 695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.15 : 708.23 = 465.50 : x
  2. Step 2: Convert to fraction form
    474.15/708.23 = 465.50/x
  3. Step 3: Cross multiply
    474.15x = 708.23 × 465.50
  4. Step 4: Simplify right side
    474.15x = 329,681.07
  5. Step 5: Solve for x
    x = 329,681.07/474.15
  6. Step 6: Final answer
    x = 695.31

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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.