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Finding the Fourth Proportional to 572.75, 789.82 and 509.53

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Solution

The fourth proportional to 572.75, 789.82 and 509.53 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 789.82 = 509.53 : x
  2. Step 2: Convert to fraction form
    572.75/789.82 = 509.53/x
  3. Step 3: Cross multiply
    572.75x = 789.82 × 509.53
  4. Step 4: Simplify right side
    572.75x = 402,436.98
  5. Step 5: Solve for x
    x = 402,436.98/572.75
  6. Step 6: Final answer
    x = 702.64

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Find fourth proportional to 286.38, 394.91 and 254.77
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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.