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Finding the Fourth Proportional to 895.01, 1,342.06 and 407.64

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Solution

The fourth proportional to 895.01, 1,342.06 and 407.64 is: 611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.01 : 1,342.06 = 407.64 : x
  2. Step 2: Convert to fraction form
    895.01/1,342.06 = 407.64/x
  3. Step 3: Cross multiply
    895.01x = 1,342.06 × 407.64
  4. Step 4: Simplify right side
    895.01x = 547,077.34
  5. Step 5: Solve for x
    x = 547,077.34/895.01
  6. Step 6: Final answer
    x = 611.25

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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.