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Finding the Fourth Proportional to 649.74, 978.47 and 585.50

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Solution

The fourth proportional to 649.74, 978.47 and 585.50 is: 881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.74 : 978.47 = 585.50 : x
  2. Step 2: Convert to fraction form
    649.74/978.47 = 585.50/x
  3. Step 3: Cross multiply
    649.74x = 978.47 × 585.50
  4. Step 4: Simplify right side
    649.74x = 572,894.19
  5. Step 5: Solve for x
    x = 572,894.19/649.74
  6. Step 6: Final answer
    x = 881.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.