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Finding the Fourth Proportional to 529.30, 790.13 and 464.50

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Solution

The fourth proportional to 529.30, 790.13 and 464.50 is: 693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.30 : 790.13 = 464.50 : x
  2. Step 2: Convert to fraction form
    529.30/790.13 = 464.50/x
  3. Step 3: Cross multiply
    529.30x = 790.13 × 464.50
  4. Step 4: Simplify right side
    529.30x = 367,015.39
  5. Step 5: Solve for x
    x = 367,015.39/529.30
  6. Step 6: Final answer
    x = 693.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.