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Finding the Fourth Proportional to 623.68, 860.16 and 468.16

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Solution

The fourth proportional to 623.68, 860.16 and 468.16 is: 645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.68 : 860.16 = 468.16 : x
  2. Step 2: Convert to fraction form
    623.68/860.16 = 468.16/x
  3. Step 3: Cross multiply
    623.68x = 860.16 × 468.16
  4. Step 4: Simplify right side
    623.68x = 402,692.51
  5. Step 5: Solve for x
    x = 402,692.51/623.68
  6. Step 6: Final answer
    x = 645.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.