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Finding the Fourth Proportional to 545.33, 820.91 and 469.98

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Solution

The fourth proportional to 545.33, 820.91 and 469.98 is: 707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.33 : 820.91 = 469.98 : x
  2. Step 2: Convert to fraction form
    545.33/820.91 = 469.98/x
  3. Step 3: Cross multiply
    545.33x = 820.91 × 469.98
  4. Step 4: Simplify right side
    545.33x = 385,804.83
  5. Step 5: Solve for x
    x = 385,804.83/545.33
  6. Step 6: Final answer
    x = 707.47

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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.