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Finding the Fourth Proportional to 752.76, 1,038.80 and 421.12

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Solution

The fourth proportional to 752.76, 1,038.80 and 421.12 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,038.80 = 421.12 : x
  2. Step 2: Convert to fraction form
    752.76/1,038.80 = 421.12/x
  3. Step 3: Cross multiply
    752.76x = 1,038.80 × 421.12
  4. Step 4: Simplify right side
    752.76x = 437,459.46
  5. Step 5: Solve for x
    x = 437,459.46/752.76
  6. Step 6: Final answer
    x = 581.14

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Find fourth proportional to 376.38, 519.40 and 210.56
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.