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Finding the Fourth Proportional to 895.03, 1,341.74 and 647.62

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Solution

The fourth proportional to 895.03, 1,341.74 and 647.62 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.03 : 1,341.74 = 647.62 : x
  2. Step 2: Convert to fraction form
    895.03/1,341.74 = 647.62/x
  3. Step 3: Cross multiply
    895.03x = 1,341.74 × 647.62
  4. Step 4: Simplify right side
    895.03x = 868,935.92
  5. Step 5: Solve for x
    x = 868,935.92/895.03
  6. Step 6: Final answer
    x = 970.85

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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.