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Finding the Fourth Proportional to 653.80, 973.72 and 646.24

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Solution

The fourth proportional to 653.80, 973.72 and 646.24 is: 962.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 973.72 = 646.24 : x
  2. Step 2: Convert to fraction form
    653.80/973.72 = 646.24/x
  3. Step 3: Cross multiply
    653.80x = 973.72 × 646.24
  4. Step 4: Simplify right side
    653.80x = 629,256.81
  5. Step 5: Solve for x
    x = 629,256.81/653.80
  6. Step 6: Final answer
    x = 962.46

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Half scale
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Double scale
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1.5x scale

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.