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Finding the Fourth Proportional to 895.98, 1,344.12 and 310.93

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Solution

The fourth proportional to 895.98, 1,344.12 and 310.93 is: 466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.98 : 1,344.12 = 310.93 : x
  2. Step 2: Convert to fraction form
    895.98/1,344.12 = 310.93/x
  3. Step 3: Cross multiply
    895.98x = 1,344.12 × 310.93
  4. Step 4: Simplify right side
    895.98x = 417,927.23
  5. Step 5: Solve for x
    x = 417,927.23/895.98
  6. Step 6: Final answer
    x = 466.45

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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.