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Finding the Fourth Proportional to 897, 1,345.14 and 434.40

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Solution

The fourth proportional to 897, 1,345.14 and 434.40 is: 651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    897 : 1,345.14 = 434.40 : x
  2. Step 2: Convert to fraction form
    897/1,345.14 = 434.40/x
  3. Step 3: Cross multiply
    897x = 1,345.14 × 434.40
  4. Step 4: Simplify right side
    897x = 584,328.82
  5. Step 5: Solve for x
    x = 584,328.82/897
  6. Step 6: Final answer
    x = 651.43

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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.