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Finding the Fourth Proportional to 738.76, 1,019.49 and 407.21

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Solution

The fourth proportional to 738.76, 1,019.49 and 407.21 is: 561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,019.49 = 407.21 : x
  2. Step 2: Convert to fraction form
    738.76/1,019.49 = 407.21/x
  3. Step 3: Cross multiply
    738.76x = 1,019.49 × 407.21
  4. Step 4: Simplify right side
    738.76x = 415,142.19
  5. Step 5: Solve for x
    x = 415,142.19/738.76
  6. Step 6: Final answer
    x = 561.95

Related Problems

Find fourth proportional to 369.38, 509.75 and 203.60
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.