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Finding the Fourth Proportional to 514.04, 707.56 and 430.22

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Solution

The fourth proportional to 514.04, 707.56 and 430.22 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.04 : 707.56 = 430.22 : x
  2. Step 2: Convert to fraction form
    514.04/707.56 = 430.22/x
  3. Step 3: Cross multiply
    514.04x = 707.56 × 430.22
  4. Step 4: Simplify right side
    514.04x = 304,406.46
  5. Step 5: Solve for x
    x = 304,406.46/514.04
  6. Step 6: Final answer
    x = 592.18

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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.