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Finding the Fourth Proportional to 895.84, 1,341.43 and 688.30

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Solution

The fourth proportional to 895.84, 1,341.43 and 688.30 is: 1,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.84 : 1,341.43 = 688.30 : x
  2. Step 2: Convert to fraction form
    895.84/1,341.43 = 688.30/x
  3. Step 3: Cross multiply
    895.84x = 1,341.43 × 688.30
  4. Step 4: Simplify right side
    895.84x = 923,301.19
  5. Step 5: Solve for x
    x = 923,301.19/895.84
  6. Step 6: Final answer
    x = 1,030.66

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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.