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Finding the Fourth Proportional to 501.81, 692.52 and 280.75

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Solution

The fourth proportional to 501.81, 692.52 and 280.75 is: 387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.81 : 692.52 = 280.75 : x
  2. Step 2: Convert to fraction form
    501.81/692.52 = 280.75/x
  3. Step 3: Cross multiply
    501.81x = 692.52 × 280.75
  4. Step 4: Simplify right side
    501.81x = 194,424.99
  5. Step 5: Solve for x
    x = 194,424.99/501.81
  6. Step 6: Final answer
    x = 387.45

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Find fourth proportional to 250.91, 346.26 and 140.38
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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.