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Finding the Fourth Proportional to 468.39, 705.76 and 389.01

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Solution

The fourth proportional to 468.39, 705.76 and 389.01 is: 586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.39 : 705.76 = 389.01 : x
  2. Step 2: Convert to fraction form
    468.39/705.76 = 389.01/x
  3. Step 3: Cross multiply
    468.39x = 705.76 × 389.01
  4. Step 4: Simplify right side
    468.39x = 274,547.70
  5. Step 5: Solve for x
    x = 274,547.70/468.39
  6. Step 6: Final answer
    x = 586.15

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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.