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Finding the Fourth Proportional to 522.10, 783.72 and 384.72

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Solution

The fourth proportional to 522.10, 783.72 and 384.72 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.10 : 783.72 = 384.72 : x
  2. Step 2: Convert to fraction form
    522.10/783.72 = 384.72/x
  3. Step 3: Cross multiply
    522.10x = 783.72 × 384.72
  4. Step 4: Simplify right side
    522.10x = 301,512.76
  5. Step 5: Solve for x
    x = 301,512.76/522.10
  6. Step 6: Final answer
    x = 577.50

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Double scale
Find fourth proportional to 523.10, 785.22 and 385.72
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.