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Finding the Fourth Proportional to 652.72, 901.48 and 507.10

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Solution

The fourth proportional to 652.72, 901.48 and 507.10 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.72 : 901.48 = 507.10 : x
  2. Step 2: Convert to fraction form
    652.72/901.48 = 507.10/x
  3. Step 3: Cross multiply
    652.72x = 901.48 × 507.10
  4. Step 4: Simplify right side
    652.72x = 457,140.51
  5. Step 5: Solve for x
    x = 457,140.51/652.72
  6. Step 6: Final answer
    x = 700.36

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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.