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Finding the Fourth Proportional to 536.76, 740.64 and 315.72

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Solution

The fourth proportional to 536.76, 740.64 and 315.72 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 740.64 = 315.72 : x
  2. Step 2: Convert to fraction form
    536.76/740.64 = 315.72/x
  3. Step 3: Cross multiply
    536.76x = 740.64 × 315.72
  4. Step 4: Simplify right side
    536.76x = 233,834.86
  5. Step 5: Solve for x
    x = 233,834.86/536.76
  6. Step 6: Final answer
    x = 435.64

Related Problems

Find fourth proportional to 268.38, 370.32 and 157.86
Half scale
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Double scale
Find fourth proportional to 537.76, 742.02 and 316.72
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.