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Finding the Fourth Proportional to 474.86, 715.93 and 468.72

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Solution

The fourth proportional to 474.86, 715.93 and 468.72 is: 706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.86 : 715.93 = 468.72 : x
  2. Step 2: Convert to fraction form
    474.86/715.93 = 468.72/x
  3. Step 3: Cross multiply
    474.86x = 715.93 × 468.72
  4. Step 4: Simplify right side
    474.86x = 335,570.71
  5. Step 5: Solve for x
    x = 335,570.71/474.86
  6. Step 6: Final answer
    x = 706.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.