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Finding the Fourth Proportional to 864.95, 1,297.40 and 317.12

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Solution

The fourth proportional to 864.95, 1,297.40 and 317.12 is: 475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.95 : 1,297.40 = 317.12 : x
  2. Step 2: Convert to fraction form
    864.95/1,297.40 = 317.12/x
  3. Step 3: Cross multiply
    864.95x = 1,297.40 × 317.12
  4. Step 4: Simplify right side
    864.95x = 411,423.42
  5. Step 5: Solve for x
    x = 411,423.42/864.95
  6. Step 6: Final answer
    x = 475.66

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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.