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Finding the Fourth Proportional to 710.42, 981.35 and 601.07

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Solution

The fourth proportional to 710.42, 981.35 and 601.07 is: 830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.42 : 981.35 = 601.07 : x
  2. Step 2: Convert to fraction form
    710.42/981.35 = 601.07/x
  3. Step 3: Cross multiply
    710.42x = 981.35 × 601.07
  4. Step 4: Simplify right side
    710.42x = 589,859.91
  5. Step 5: Solve for x
    x = 589,859.91/710.42
  6. Step 6: Final answer
    x = 830.30

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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.