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Finding the Fourth Proportional to 840.76, 1,160.28 and 462.67

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Solution

The fourth proportional to 840.76, 1,160.28 and 462.67 is: 638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.76 : 1,160.28 = 462.67 : x
  2. Step 2: Convert to fraction form
    840.76/1,160.28 = 462.67/x
  3. Step 3: Cross multiply
    840.76x = 1,160.28 × 462.67
  4. Step 4: Simplify right side
    840.76x = 536,823.85
  5. Step 5: Solve for x
    x = 536,823.85/840.76
  6. Step 6: Final answer
    x = 638.50

Related Problems

Find fourth proportional to 420.38, 580.14 and 231.33
Half scale
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Double scale
Find fourth proportional to 841.76, 1,161.66 and 463.67
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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.