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Finding the Fourth Proportional to 491.47, 677.51 and 432.69

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Solution

The fourth proportional to 491.47, 677.51 and 432.69 is: 596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 677.51 = 432.69 : x
  2. Step 2: Convert to fraction form
    491.47/677.51 = 432.69/x
  3. Step 3: Cross multiply
    491.47x = 677.51 × 432.69
  4. Step 4: Simplify right side
    491.47x = 293,154.97
  5. Step 5: Solve for x
    x = 293,154.97/491.47
  6. Step 6: Final answer
    x = 596.49

Related Problems

Find fourth proportional to 245.73, 338.76 and 216.35
Half scale
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Double scale
Find fourth proportional to 492.47, 678.89 and 433.69
Similar ratio
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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.