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Finding the Fourth Proportional to 560.16, 839.32 and 457.49

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Solution

The fourth proportional to 560.16, 839.32 and 457.49 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 839.32 = 457.49 : x
  2. Step 2: Convert to fraction form
    560.16/839.32 = 457.49/x
  3. Step 3: Cross multiply
    560.16x = 839.32 × 457.49
  4. Step 4: Simplify right side
    560.16x = 383,981.46
  5. Step 5: Solve for x
    x = 383,981.46/560.16
  6. Step 6: Final answer
    x = 685.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.