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Finding the Fourth Proportional to 895.10, 1,335.74 and 787.12

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Solution

The fourth proportional to 895.10, 1,335.74 and 787.12 is: 1,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.10 : 1,335.74 = 787.12 : x
  2. Step 2: Convert to fraction form
    895.10/1,335.74 = 787.12/x
  3. Step 3: Cross multiply
    895.10x = 1,335.74 × 787.12
  4. Step 4: Simplify right side
    895.10x = 1,051,387.67
  5. Step 5: Solve for x
    x = 1,051,387.67/895.10
  6. Step 6: Final answer
    x = 1,174.60

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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.