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Finding the Fourth Proportional to 560.40, 770.72 and 459.68

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Solution

The fourth proportional to 560.40, 770.72 and 459.68 is: 632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 770.72 = 459.68 : x
  2. Step 2: Convert to fraction form
    560.40/770.72 = 459.68/x
  3. Step 3: Cross multiply
    560.40x = 770.72 × 459.68
  4. Step 4: Simplify right side
    560.40x = 354,284.57
  5. Step 5: Solve for x
    x = 354,284.57/560.40
  6. Step 6: Final answer
    x = 632.20

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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.