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Finding the Fourth Proportional to 545.06, 751.68 and 420.53

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Solution

The fourth proportional to 545.06, 751.68 and 420.53 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 751.68 = 420.53 : x
  2. Step 2: Convert to fraction form
    545.06/751.68 = 420.53/x
  3. Step 3: Cross multiply
    545.06x = 751.68 × 420.53
  4. Step 4: Simplify right side
    545.06x = 316,100.23
  5. Step 5: Solve for x
    x = 316,100.23/545.06
  6. Step 6: Final answer
    x = 579.93

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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.