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Finding the Fourth Proportional to 957.72, 1,320.93 and 643.34

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Solution

The fourth proportional to 957.72, 1,320.93 and 643.34 is: 887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.72 : 1,320.93 = 643.34 : x
  2. Step 2: Convert to fraction form
    957.72/1,320.93 = 643.34/x
  3. Step 3: Cross multiply
    957.72x = 1,320.93 × 643.34
  4. Step 4: Simplify right side
    957.72x = 849,807.11
  5. Step 5: Solve for x
    x = 849,807.11/957.72
  6. Step 6: Final answer
    x = 887.32

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.