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Finding the Fourth Proportional to 897.71, 1,345.64 and 435.71

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Solution

The fourth proportional to 897.71, 1,345.64 and 435.71 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.71 : 1,345.64 = 435.71 : x
  2. Step 2: Convert to fraction form
    897.71/1,345.64 = 435.71/x
  3. Step 3: Cross multiply
    897.71x = 1,345.64 × 435.71
  4. Step 4: Simplify right side
    897.71x = 586,309.99
  5. Step 5: Solve for x
    x = 586,309.99/897.71
  6. Step 6: Final answer
    x = 653.12

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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.