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Finding the Fourth Proportional to 710.15, 979.74 and 430.18

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Solution

The fourth proportional to 710.15, 979.74 and 430.18 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.15 : 979.74 = 430.18 : x
  2. Step 2: Convert to fraction form
    710.15/979.74 = 430.18/x
  3. Step 3: Cross multiply
    710.15x = 979.74 × 430.18
  4. Step 4: Simplify right side
    710.15x = 421,462.10
  5. Step 5: Solve for x
    x = 421,462.10/710.15
  6. Step 6: Final answer
    x = 593.49

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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.