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Finding the Fourth Proportional to 895.58, 1,342.36 and 402.39

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Solution

The fourth proportional to 895.58, 1,342.36 and 402.39 is: 603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.58 : 1,342.36 = 402.39 : x
  2. Step 2: Convert to fraction form
    895.58/1,342.36 = 402.39/x
  3. Step 3: Cross multiply
    895.58x = 1,342.36 × 402.39
  4. Step 4: Simplify right side
    895.58x = 540,152.24
  5. Step 5: Solve for x
    x = 540,152.24/895.58
  6. Step 6: Final answer
    x = 603.13

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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.