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Finding the Fourth Proportional to 884.19, 1,219.95 and 530.22

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Solution

The fourth proportional to 884.19, 1,219.95 and 530.22 is: 731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.19 : 1,219.95 = 530.22 : x
  2. Step 2: Convert to fraction form
    884.19/1,219.95 = 530.22/x
  3. Step 3: Cross multiply
    884.19x = 1,219.95 × 530.22
  4. Step 4: Simplify right side
    884.19x = 646,841.89
  5. Step 5: Solve for x
    x = 646,841.89/884.19
  6. Step 6: Final answer
    x = 731.56

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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.