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Finding the Fourth Proportional to 532.51, 734.39 and 345.93

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Solution

The fourth proportional to 532.51, 734.39 and 345.93 is: 477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.51 : 734.39 = 345.93 : x
  2. Step 2: Convert to fraction form
    532.51/734.39 = 345.93/x
  3. Step 3: Cross multiply
    532.51x = 734.39 × 345.93
  4. Step 4: Simplify right side
    532.51x = 254,050.48
  5. Step 5: Solve for x
    x = 254,050.48/532.51
  6. Step 6: Final answer
    x = 477.08

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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.