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Finding the Fourth Proportional to 1,345.47, 2,017.38 and 467.77

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Solution

The fourth proportional to 1,345.47, 2,017.38 and 467.77 is: 701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.47 : 2,017.38 = 467.77 : x
  2. Step 2: Convert to fraction form
    1,345.47/2,017.38 = 467.77/x
  3. Step 3: Cross multiply
    1,345.47x = 2,017.38 × 467.77
  4. Step 4: Simplify right side
    1,345.47x = 943,663.63
  5. Step 5: Solve for x
    x = 943,663.63/1,345.47
  6. Step 6: Final answer
    x = 701.36

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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.