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Finding the Fourth Proportional to 1,830.64, 2,746.45 and 597.89

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Solution

The fourth proportional to 1,830.64, 2,746.45 and 597.89 is: 896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.64 : 2,746.45 = 597.89 : x
  2. Step 2: Convert to fraction form
    1,830.64/2,746.45 = 597.89/x
  3. Step 3: Cross multiply
    1,830.64x = 2,746.45 × 597.89
  4. Step 4: Simplify right side
    1,830.64x = 1,642,062.01
  5. Step 5: Solve for x
    x = 1,642,062.01/1,830.64
  6. Step 6: Final answer
    x = 896.99

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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.