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Finding the Fourth Proportional to 530.10, 794.49 and 313.14

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Solution

The fourth proportional to 530.10, 794.49 and 313.14 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 794.49 = 313.14 : x
  2. Step 2: Convert to fraction form
    530.10/794.49 = 313.14/x
  3. Step 3: Cross multiply
    530.10x = 794.49 × 313.14
  4. Step 4: Simplify right side
    530.10x = 248,786.60
  5. Step 5: Solve for x
    x = 248,786.60/530.10
  6. Step 6: Final answer
    x = 469.32

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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.