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Finding the Fourth Proportional to 656.64, 977.67 and 653.40

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Solution

The fourth proportional to 656.64, 977.67 and 653.40 is: 972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 977.67 = 653.40 : x
  2. Step 2: Convert to fraction form
    656.64/977.67 = 653.40/x
  3. Step 3: Cross multiply
    656.64x = 977.67 × 653.40
  4. Step 4: Simplify right side
    656.64x = 638,809.58
  5. Step 5: Solve for x
    x = 638,809.58/656.64
  6. Step 6: Final answer
    x = 972.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.