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Finding the Fourth Proportional to 545.51, 752.83 and 309.47

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Solution

The fourth proportional to 545.51, 752.83 and 309.47 is: 427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.51 : 752.83 = 309.47 : x
  2. Step 2: Convert to fraction form
    545.51/752.83 = 309.47/x
  3. Step 3: Cross multiply
    545.51x = 752.83 × 309.47
  4. Step 4: Simplify right side
    545.51x = 232,973.76
  5. Step 5: Solve for x
    x = 232,973.76/545.51
  6. Step 6: Final answer
    x = 427.07

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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.