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Finding the Fourth Proportional to 530.34, 790.85 and 468.38

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Solution

The fourth proportional to 530.34, 790.85 and 468.38 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.34 : 790.85 = 468.38 : x
  2. Step 2: Convert to fraction form
    530.34/790.85 = 468.38/x
  3. Step 3: Cross multiply
    530.34x = 790.85 × 468.38
  4. Step 4: Simplify right side
    530.34x = 370,412.03
  5. Step 5: Solve for x
    x = 370,412.03/530.34
  6. Step 6: Final answer
    x = 698.44

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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.