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Finding the Fourth Proportional to 530.02, 794.31 and 399.91

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Solution

The fourth proportional to 530.02, 794.31 and 399.91 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.02 : 794.31 = 399.91 : x
  2. Step 2: Convert to fraction form
    530.02/794.31 = 399.91/x
  3. Step 3: Cross multiply
    530.02x = 794.31 × 399.91
  4. Step 4: Simplify right side
    530.02x = 317,652.51
  5. Step 5: Solve for x
    x = 317,652.51/530.02
  6. Step 6: Final answer
    x = 599.32

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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.