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Finding the Fourth Proportional to 520.26, 783.95 and 430.96

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Solution

The fourth proportional to 520.26, 783.95 and 430.96 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 783.95 = 430.96 : x
  2. Step 2: Convert to fraction form
    520.26/783.95 = 430.96/x
  3. Step 3: Cross multiply
    520.26x = 783.95 × 430.96
  4. Step 4: Simplify right side
    520.26x = 337,851.09
  5. Step 5: Solve for x
    x = 337,851.09/520.26
  6. Step 6: Final answer
    x = 649.39

Related Problems

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Half scale
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Double scale
Find fourth proportional to 521.26, 785.46 and 431.96
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.