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Finding the Fourth Proportional to 2,897.04, 4,345.54 and 705.72

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Solution

The fourth proportional to 2,897.04, 4,345.54 and 705.72 is: 1,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.04 : 4,345.54 = 705.72 : x
  2. Step 2: Convert to fraction form
    2,897.04/4,345.54 = 705.72/x
  3. Step 3: Cross multiply
    2,897.04x = 4,345.54 × 705.72
  4. Step 4: Simplify right side
    2,897.04x = 3,066,734.49
  5. Step 5: Solve for x
    x = 3,066,734.49/2,897.04
  6. Step 6: Final answer
    x = 1,058.58

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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.