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Finding the Fourth Proportional to 977.04, 1,348.08 and 646.08

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Solution

The fourth proportional to 977.04, 1,348.08 and 646.08 is: 891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.04 : 1,348.08 = 646.08 : x
  2. Step 2: Convert to fraction form
    977.04/1,348.08 = 646.08/x
  3. Step 3: Cross multiply
    977.04x = 1,348.08 × 646.08
  4. Step 4: Simplify right side
    977.04x = 870,967.53
  5. Step 5: Solve for x
    x = 870,967.53/977.04
  6. Step 6: Final answer
    x = 891.43

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.