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Finding the Fourth Proportional to 651.04, 977.68 and 646

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Solution

The fourth proportional to 651.04, 977.68 and 646 is: 970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.04 : 977.68 = 646 : x
  2. Step 2: Convert to fraction form
    651.04/977.68 = 646/x
  3. Step 3: Cross multiply
    651.04x = 977.68 × 646
  4. Step 4: Simplify right side
    651.04x = 631,581.28
  5. Step 5: Solve for x
    x = 631,581.28/651.04
  6. Step 6: Final answer
    x = 970.11

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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.