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Finding the Fourth Proportional to 897.95, 1,345.70 and 635.91

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Solution

The fourth proportional to 897.95, 1,345.70 and 635.91 is: 953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.95 : 1,345.70 = 635.91 : x
  2. Step 2: Convert to fraction form
    897.95/1,345.70 = 635.91/x
  3. Step 3: Cross multiply
    897.95x = 1,345.70 × 635.91
  4. Step 4: Simplify right side
    897.95x = 855,744.09
  5. Step 5: Solve for x
    x = 855,744.09/897.95
  6. Step 6: Final answer
    x = 953.00

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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.