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Finding the Fourth Proportional to 895.10, 1,342.59 and 431.48

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Solution

The fourth proportional to 895.10, 1,342.59 and 431.48 is: 647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.10 : 1,342.59 = 431.48 : x
  2. Step 2: Convert to fraction form
    895.10/1,342.59 = 431.48/x
  3. Step 3: Cross multiply
    895.10x = 1,342.59 × 431.48
  4. Step 4: Simplify right side
    895.10x = 579,294.02
  5. Step 5: Solve for x
    x = 579,294.02/895.10
  6. Step 6: Final answer
    x = 647.19

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Double scale
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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.