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Finding the Fourth Proportional to 1,345.64, 2,017.94 and 420.89

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Solution

The fourth proportional to 1,345.64, 2,017.94 and 420.89 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.64 : 2,017.94 = 420.89 : x
  2. Step 2: Convert to fraction form
    1,345.64/2,017.94 = 420.89/x
  3. Step 3: Cross multiply
    1,345.64x = 2,017.94 × 420.89
  4. Step 4: Simplify right side
    1,345.64x = 849,330.77
  5. Step 5: Solve for x
    x = 849,330.77/1,345.64
  6. Step 6: Final answer
    x = 631.17

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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.