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Finding the Fourth Proportional to 740.48, 1,021.68 and 460.76

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Solution

The fourth proportional to 740.48, 1,021.68 and 460.76 is: 635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.48 : 1,021.68 = 460.76 : x
  2. Step 2: Convert to fraction form
    740.48/1,021.68 = 460.76/x
  3. Step 3: Cross multiply
    740.48x = 1,021.68 × 460.76
  4. Step 4: Simplify right side
    740.48x = 470,744.17
  5. Step 5: Solve for x
    x = 470,744.17/740.48
  6. Step 6: Final answer
    x = 635.73

Related Problems

Find fourth proportional to 370.24, 510.84 and 230.38
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.