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Finding the Fourth Proportional to 529.02, 794.16 and 312.75

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Solution

The fourth proportional to 529.02, 794.16 and 312.75 is: 469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 794.16 = 312.75 : x
  2. Step 2: Convert to fraction form
    529.02/794.16 = 312.75/x
  3. Step 3: Cross multiply
    529.02x = 794.16 × 312.75
  4. Step 4: Simplify right side
    529.02x = 248,373.54
  5. Step 5: Solve for x
    x = 248,373.54/529.02
  6. Step 6: Final answer
    x = 469.50

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Why These Related Problems?

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