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Finding the Fourth Proportional to 897.29, 1,345.55 and 377.52

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Solution

The fourth proportional to 897.29, 1,345.55 and 377.52 is: 566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.29 : 1,345.55 = 377.52 : x
  2. Step 2: Convert to fraction form
    897.29/1,345.55 = 377.52/x
  3. Step 3: Cross multiply
    897.29x = 1,345.55 × 377.52
  4. Step 4: Simplify right side
    897.29x = 507,972.98
  5. Step 5: Solve for x
    x = 507,972.98/897.29
  6. Step 6: Final answer
    x = 566.12

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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.