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Finding the Fourth Proportional to 545.06, 816.91 and 398.45

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Solution

The fourth proportional to 545.06, 816.91 and 398.45 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 816.91 = 398.45 : x
  2. Step 2: Convert to fraction form
    545.06/816.91 = 398.45/x
  3. Step 3: Cross multiply
    545.06x = 816.91 × 398.45
  4. Step 4: Simplify right side
    545.06x = 325,492.71
  5. Step 5: Solve for x
    x = 325,492.71/545.06
  6. Step 6: Final answer
    x = 597.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.