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Finding the Fourth Proportional to 700.04, 966.08 and 420.32

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Solution

The fourth proportional to 700.04, 966.08 and 420.32 is: 580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.04 : 966.08 = 420.32 : x
  2. Step 2: Convert to fraction form
    700.04/966.08 = 420.32/x
  3. Step 3: Cross multiply
    700.04x = 966.08 × 420.32
  4. Step 4: Simplify right side
    700.04x = 406,062.75
  5. Step 5: Solve for x
    x = 406,062.75/700.04
  6. Step 6: Final answer
    x = 580.06

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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.