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Finding the Fourth Proportional to 734.76, 1,014.30 and 499

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Solution

The fourth proportional to 734.76, 1,014.30 and 499 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,014.30 = 499 : x
  2. Step 2: Convert to fraction form
    734.76/1,014.30 = 499/x
  3. Step 3: Cross multiply
    734.76x = 1,014.30 × 499
  4. Step 4: Simplify right side
    734.76x = 506,135.70
  5. Step 5: Solve for x
    x = 506,135.70/734.76
  6. Step 6: Final answer
    x = 688.84

Related Problems

Find fourth proportional to 367.38, 507.15 and 249.50
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Double scale
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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.